Answer:
Note: The sum of all interior angles of a triangle is always 180°.
7. (2x - 5) + (3x + 10) + 90 = 180
5x = 85
x = 17
Therefore,
m∠S = 2x - 5 = 2(17) - 5 = 29°
m∠R = 3x + 10 = 3(17) + 10 = 61°
8. (x + 10) + (3x - 10) + 90 = 180
4x = 90
x = 22.5
Therefore,
m∠O = x + 10 = (22.5) + 10 = 32.5°
m∠Q = 3x - 10 = 3(22.5) - 10 = 57.5°
9. ∠M and ∠L are congruent.
m∠M = m∠L
m∠L = 25°
m∠N + 25 + 25 = 180
m∠N = 130°
10. ∠J and ∠I are congruent.
m∠J = m∠I
m∠J = 30°
m∠K + 30 + 30 = 180
m∠K = 120°
