Angles

Collinear Points & Triangles

2019 December(C03) Math Question 2

2. The degree measures of the 3 angles of the triangle below are expressed in terms of x. What is the value of x ?

Sum of angles of a triangle

2021 December(E23) Math Question 2

3.In the figure below, C is on BD, LBAC measures 42~,
and LABC measures 108°. What is the measure of
LACD?

2019 June(B02) Math Question 3

3. In the figure below, C lies on AD, the measure of ZBAC is 65°, the measure of ZBCD is 100°, and the measure of LABC is x°. What is the value of x ?

2016 December(74H) Math Question 3

2012 April(70G) Math Question 4

2010 June(68C) Math Question 4

4. Three line segments intersect as shown in the figure below, forming angles with measures of 150°, 40°, and x°, respectively. What is the value of x ?

2018 April(A09) Math Question 4

4. In the figure below, ∠QPR measures 40°, ∠PQR measures 105°, and points Q, R, and S are collinear. What is the measure of ∠PRS ?

2014 April(71H) Math Question 4

6. In AACD below, B is on AC, E is on AD, the measure of LCAD is 28°, and AD is perpendicular to both BE and CD. What is the measure of ZCBE ?

2017 June(74C) Math Question 6

2010 April(68G) Math Question 6

6. In AABC, the sum of the measures of LA and LB is 57°. What is the measure of LC ?

2013 June(71C) Math Question 6

2009 April(66F) Math Question 10

10. The figure below shows lines AB and DC, line segments AT and BC, and 2 angle measures. What is the measure of ACB ?

2016 April(73E) Math Question 10

2011 April(67F) Math Question 11

2010 June(68C) Math Question 11

2009 June(67C) Math Question 11

2010 June(68C) Math Question 13

2012 December(71A) Math Question 14

16. In the figure below, vertices D and F of ADEF lie on CG, the measure of LCDE is 148°, and the measure of EFG is 140°. What is the measure of DEF ?

2015 June(73C) Math Question 16

2010 December(69A) Math Question 18

19. Loto begins at his back door and walks 8 yards east, 6 yards north, 12 yards east, and 5 yards north to the barn door. About how many yards less would he walk if he could walk directly from the back door to the barn door?

Pythagorean Theorem and Special Right Triangles

2021 April(Z04) Math Question 19

21. In the figure below, A, B, C, and D lie on the circle centered at O. Which of the following does NOT appear in the figure?

Triangles

2021 April(Z04) Math Question 21

2019 April(Z15) Math Question 23

2019 December(C03) Math Question 23

25. In nABC shown below, the measure of ∠A is 58°, and AB ≅ AC. What is the measure of ∠C ?

2021 April(Z04) Math Question 25

2012 June(70C) Math Question 27

27. Given that ∠R is the included angle between the 2 congruent sides of the isosceles triangle nRST, and the measure of ∠R is 50°, what is the measure of ∠S ?

2020 December(D03) Math Question 27

2013 April(71G) Math Question 31

33. In a plane, the distinct lines AB and CD intersect at A, where A is between C and D. The measure of BAC is 54°. What is the measure of BAD ?

2015 April(73G) Math Question 33

2012 April(70G) Math Question 34

35. In AABC, AB = 6 cm, AC = 12 cm, inLA = 600, and AC is the longest side. Which of the following statements about the measures of the angles in AABC must be true? (Note: mZX denotes the measure of angle X.)

2016 December(74H) Math Question 35

39. A student is using a protractor, as shown below, to find the measures of the interior angles of nABC. Which of the following is closest to the degree measure of ∠C ?

2021 December(E23) Math Question 39

42. In the figure below, X and Z are on line m, and Y is on line 1. The exterior angle to AXYZ at Z measures 160°. One of the following statements gives sufficient . additional information to find the measure of Lb. Which one?

Collinear Points & TrianglesAnglesACT math questions

2019 December(C03) Math Question 2

2021 December(E23) Math Question 2