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1 answer:
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°
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