Question

I Need help ASAP please and Thankyou!!

Answer 1

Answer:

Step-by-step explanation:

m∠R = 180° - 110° [Linear pair of angles are supplementary]

m∠R = 70°

m∠S = 45° [Vertically opposite angles]

By triangle sum theorem,

m∠P + m∠R + m∠S = 180°

m∠P + 70° + 45° = 180°

m∠P = 180 -115

        = 65°

Therefore, m∠A = m∠P = 65° [Vertically opposite angles]

By triangle sum theorem,

m∠B + m∠S + m∠T = 180°

m∠B + 45° + 65° = 180°

[m∠T = 65°. Since, ∠P and ∠T are corresponding angles]

m∠B = 180° - 110° = 70°

m∠C + m∠B = 180° [Linear pair of angles are supplementary]

m∠C = 180° - 70° = 110°

m∠D + m∠T = 180° [Linear pair of angles are supplementary]

m∠D + 65° = 180°

m∠D = 115°