Question

Wgat the angle values

Answer 1

see explanation

Explanation:

(8)

Since PQ = TQ then Δ PQT is isosceles with base angle congruent , so = a = 54 , then

∠ PQT = 180° - 54° - 54° = 180° - 108° = 72°

∠ PQT and b are adjacent angles on a straight line and sum to 180 , then

b = 180 - 72 = 108

∠ RQS = ∠ PQT = 72 ( vertically opposite angles ) , then

c = 180 - 72 - 65 = 180 - 137 = 43

So a = 54, b = 108 , c = 43

(9)

a = 45 ( corresponding angles )

∠ ECD = ∠ ABC = 30° (corresponding angles )

∠ ECD and b are adjacent angles on a straight line and sum to 180° , then

b = 180 - 30 = 150 , so

c = 180 - 30 - 45 = 180 - 75 = 105

So a = 45 , b = 150 , c = 105