Question

Find the value of x if ∠A = 32°, ∠B = 55° and obtuse angle AED = 115°.

Answer 1

In the figure, ∠A = 32, ∠B = 55°

∠AED =115°

In ∆ABC

Exterior ∠ACD = ∠A + ∠B = 32° + 55° = 87°

Similarly in ∆CDE

External ∠AED = ∠D + ∠ACD

⇒ 115° = x + 87° ⇒ x = 115°- 87° = 28°

Hence x = 28°