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• 1999 AHSME Problems
  ...mum number of points of intersection of the graphs of two different fourth degree polynomial functions <math>y = p(x)</math> and <math>y = q(x)</math>, each ...4 \cos B = 6</math> and <math>4 \sin B + 3 \cos A = 1</math>. Then <math>\angle C</math> in degrees is
  13 KB (1,945 words) - 18:28, 19 June 2023
• Reflex angle
  A '''reflex angle''' is an angle whose measure is greater than 180 degrees and less than 360 degrees. |style = "background:#f2f2f2; text-align:center;" | '''[[Degree (geometry)|Degree]]s'''&nbsp;&nbsp;
  1 KB (153 words) - 19:32, 31 December 2019
• 2007 AMC 10A Problems
  ...angle <math>ADC</math> measures 140 degrees. What is the degree measure of angle <math>BAD</math>? ...des has length <math>4</math>, and each two consecutive sides form a right angle. Suppose that <math>\overline{AG}</math> and <math>\overline{CH}</math> mee
  13 KB (2,058 words) - 17:54, 29 March 2024
• 1966 AHSME Problems
  ...tered at <math>O</math>. <math>C</math> is a point on the circle such that angle <math>BOC</math> is <math>60^\circ</math>. If the diameter of the circle is ...h>BAC</math> are in the ratio <math>2: 3: 4</math>. <math>BD</math> is the angle-bisector drawn to the shortest side <math>AC</math>, dividing it into segme
  19 KB (3,159 words) - 22:10, 11 March 2024
• Three Greek problems of antiquity
  ...then show that <math>x</math> must be an [[algebraic number]] and that the degree of it's [[minimal polynomial]] must be a power of <math>2</math>. ==Trisection of the General Angle==
  2 KB (359 words) - 17:06, 11 June 2022
• 2007 AMC 12B Problems/Problem 14
  .../math> to <math>\overline{BC}</math> be <math>D</math>. Also, since <math>\angle{PQD}=60</math>, let the foot of the altitude from <math>P</math> to <math>\
  3 KB (401 words) - 22:58, 8 May 2023
• 2008 AMC 10B Problems/Problem 24
  ...<math>m\angle BCD = 170^\circ</math>. What is the degree measure of <math>\angle BAD</math>? ...ath>AYB</math> equal to <math>60</math> degrees. We can also find out that angle <math>CYB</math> equals <math>120</math> degrees.
  12 KB (1,944 words) - 17:15, 20 January 2024
• 2008 AMC 10A Problems/Problem 19
  ...RS,\, \angle P'RQ'</math> are complementary, it follows that the arc has a degree measure of <math>90^{\circ}</math> and length <math>\frac14</math> of the [
  2 KB (321 words) - 17:52, 7 November 2021
• 2008 iTest Problems
  Let <math>\triangle XOY</math> be a right-angled triangle with <math>\angle XOY=90^\circ</math>. Let <math>M</math> and <math>N</math> be the midpoints ...C</math> in the sand such that <math>\angle ACB=90^\circ</math> and <math>\angle CBA=15^\circ</math>. He then picks a point at random from within the triang
  71 KB (11,749 words) - 01:31, 2 November 2023
• 2002 AMC 12A Problems/Problem 7
  ...that in a circle with radius <math> r </math>, a subtended arc opposite an angle of <math>\theta</math> degrees has length <math>\frac{\theta}{360} \cdot 2\ ...er based on the choices. Firstly, if a higher angle measure equals a lower angle measure, that means that the ratio of areas must be lower, cutting D and E.
  3 KB (492 words) - 14:46, 31 January 2024
• 2009 AMC 10A Problems/Problem 17
  ...s congruent to <math>DBA</math> and angle <math>ADC</math> is also a right angle. By the transitive property: ...angle has a degree measure of <math>180</math>, angle <math>BEA</math> and angle <math>DBA</math> are similar.
  4 KB (684 words) - 21:14, 23 October 2023
• 2001 AMC 12 Problems/Problem 24
  ...math>2\cdot BD=CD</math> and <math>\angle DAB=15^\circ</math>. Find <math>\angle ACB.</math> ...<math>\triangle{ABH}</math> we get <math>BH=kt</math>. Using the 60-degree angle in <math>\triangle{ADH}</math>, we obtain <math>DH=\frac{\sqrt{3}}{3}kt</ma
  8 KB (1,316 words) - 22:48, 7 March 2024
• 2009 AMC 10B Problems
  ...>\angle A = \frac 52 \angle B</math>. What is the degree measure of <math>\angle D</math>? ...h>, <math>AB=1</math>, and <math>BC=2</math>. The angle bisector of <math>\angle A</math> intersects side <math>\overline{BC}</math> at <math>D</math>. What
  15 KB (2,262 words) - 00:53, 18 June 2021
• 2009 AMC 10B Problems/Problem 9
  ...>\angle A = \frac 52 \angle B</math>. What is the degree measure of <math>\angle D</math>? <math>\triangle ABC</math> is isosceles, hence <math>\angle ACB = \angle CAB</math>.
  2 KB (241 words) - 17:39, 28 June 2021
• 2009 AMC 10B Problems/Problem 24
  ...let <math>x</math> be the angle measure in degrees of the larger interior angle of the trapezoid. What is <math>x</math>? ...\circ}2 = 80^\circ</math>, hence the degree measure of the larger interior angle is <math>180^\circ - 80^\circ = \boxed{100^\circ \Longrightarrow A}</math>.
  3 KB (546 words) - 04:26, 16 January 2023
• 1989 AJHSME Problems/Problem 10
  What is the number of [[degree|degrees]] in the smaller [[angle]] between the hour hand and the minute hand on a clock that reads seven o'c ...clock. A circle is <math>360^\circ</math>, so the measure of the smaller angle is
  683 bytes (100 words) - 23:57, 4 July 2013
• 2003 AMC 12B Problems/Problem 25
  ...m amount of freedom we have to place the third point is a <math>120</math> degree arc(if the first two are the same point), with a <math>\frac{1}{3}</math> p ...degrees, the probability changes linearly (every degree it moves, adds one degree to where the third could be).
  4 KB (635 words) - 11:46, 1 September 2022
• 2010 AMC 12A Problems/Problem 17
  ...ngle{EFA}</math> are congruent by SAS, so the side opposite the 120 degree angle is also the same (since the triangles are congruent). Thus <math>\triangle{
  4 KB (690 words) - 10:13, 14 October 2022
• 2010 AMC 10B Problems
  ...ath> is a diameter and <math>C</math> is a point on the circle with <math>\angle COB = 50^\circ</math>. What is the degree measure of <math>\angle CAB</math>?
  12 KB (1,817 words) - 22:44, 22 December 2020
• 2010 AIME II Problems
  Find the number of second-degree polynomials <math>f(x)</math> with integer coefficients and integer zeros f ...th> on <math>\overline{AB}</math> is chosen such that <math>\angle APC = 2\angle ACP</math> and <math>CP = 1</math>. The ratio <math>\frac{AP}{BP}</math> ca
  8 KB (1,246 words) - 21:58, 10 August 2020

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