Question

angle ACD is an exterior angle of triangle ABC, ray CE is the bisector of angle ACE angleB = 70° and angle ACE =65°. find measure angle A​

Answer 1

Answer:

angle ECD = 65° because bisector divide the angle in equal two parts

so, the whole angle ACD = 65° + 65°

= 130°

now we can find angle ACB = 180°- 130° ( Alidge angles are suplemantry ). = 50°

now measure of angle A = 70° + 50° + A = 180° ( sum of three angles of a traingle is 180°)

so, 70°+50°+A = 180°

120° +A = 180°

A = 180° - 120°

= 60°

so, measure of angle A = 60°

I hope this will help you