Answer:
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