Question

In triangle BCD overline BC cong overline BD ,m angle B=13x-35 , m angle C=5r-19 and m angle D=2r+14 , find x and the measure of each angle.

Answer 1

The measure of m<B, m<C and m<D are 108, 36 and 46

Explanation:

What are triangles?

From the triangle BCD, if BC=BD, then

m<C = m<D (Base angles are equal)

Given the following paramters:

m<C = 5x-19

m<D = 2x + 14

Hence;

5x - 19 =2x + 14

5x- 2x = 14 + 19

3x = 33

x = 11

m<B = 13x - 35

m<B = 13(11) - 35

m<B = 108 degres

m<C = 5x - 19

m<C = 55- 19

m<C = 36

m<D = 180 - 144

m<D = 36 degreees

Answer 2

136

Explanation: