Angles

Vertex Angles & Bisectors

4. In the figure below, QRS is equilateral, side QR is bisected by T, and side QS is bisected by U. What is the degree measure of TUS ?

2015 June(73C) Math Question 4

2020 June(C02) Math Question 5

2009 December(68A) Math Question 8

2013 December(71E) Math Question 10

12. In the figure below, C is the intersection of AD and BE. If it can be determined, what is the measure of LBAC ?

2014 June(72C) Math Question 12

12. In the figure below, AD intersects BG at C and is perpendicular to DE. Line DE intersects BG at F. Given that the measure of ZEFG is 25°, what is the measure of ZBCD ?

2018 June(A11) Math Question 12

2019 April(Z15) Math Question 16

19. In a plane, the distinct lines AB and CD intersect at A, where A is between C and D. The measure of ∠BAC is 47°. What is the measure of ∠BAD ?

2014 June(72C) Math Question 19

28. Distinct lines l and m intersect, forming 4 pairs of adjacent angles. Which of the following statements must be true about these 4 pairs of angles?

2014 April(71H) Math Question 28

2019 April(B04) Math Question 39

41. In the figure below, AD, BE, and CF all intersect at point Z. The measures of 2 angles are given. What is the measure of CZE ?

2014 December(72G) Math Question 41

43. In the figure below, C lies in the interior of the acute angle LABD, and D lies in the interior of the acute angle LCBE. The measure of LABE is 75°, the measure of LABC is 25°, and the measure of LDBE is 35°. What is the measure of LABD ?

2013 June(71C) Math Question 43

46. In the figure below, line m is perpendicular to line n, and both lines intersect line q at the same point. The measure of L1 is (3x — 10)°, and the measure of L2 is (2x + 10)°. What is the measure of L3 ?

2017 June(74C) Math Question 46

60. As shown in the figure below, AC and BD intersect at O. Given that 180° < x° < 360° and that x = 4y, what is the value of y ?

2016 April(73E) Math Question 60

60. Ray PK bisects LLPM, the measure of ZLPM is I lx°, and the measure of LLPK is (4x + 18)°. What is the measure of ZKPM ?

Vertex Angles & BisectorsAnglesACT math questions

2015 June(73C) Math Question 4

2020 June(C02) Math Question 5