Question

In the diagram below, isosceles triangle ABC is drawn with AB is congruent AC and side BC extended through point D. If

m/ACB=2x+16 and m angle ACD=5x+24, find the measure of angle A.

Answer 1

32°

Explanation:

Angle A + angle B = angle ACD

Since it is an isosceles triangle angle a = angel b

2(2x + 16) = 5x +24 distribute the 2

4x + 32 = 5x + 24 Subtract 4x from both sides

32 = x + 24 Subtract 24 from both sides

8 = x

Now plug in 8 for x in 2x + 16

2(8) + 16

16+ 16 = 32