Question

Give me answer with full statement.​

Answer 1

The answer is angle APC is 55

Answer 2

SOLUTION:-

Given,

∠ABC= 30°

∠ACD=110°

By exterior angle theorem:

∠ACD=∠A +∠B

110°=∠A+ 30°

∠A= 110°-30°

∠A= 80°

∠ACD +∠ACP= 180° (Linear pair)

110° + ∠ACP= 180°

∠ACP= 180° -110°

∠ACP= 70°

In ∆APC,

∠APC +∠PAC+ ∠ACP= 180°

∠APC+ 1/2∠A +70°= 180°

∠APC+ 1/2×80°+70°= 180°

∠APC+ 40° + 70° = 180°

∠APC= 180° - 110°

∠APC= 70°

Hope it helps ☺️