Question

In ΔBCD, \text{m}\angle B = (4x-14)^{\circ}m∠B=(4x−14) ∘ , \text{m}\angle C = (x-1)^{\circ}m∠C=(x−1) ∘ , and \text{m}\angle D = (6x+8)^{\circ}m∠D=(6x+8) ∘ . What is the value of x?X?

Answer 1

x = 17

Explanation:

The sum of angle in the triangle BCD is 180 degrees

Given;

<B = 4x -14

<C = x - 1

<D = 6x + 8

Required

Find x

Since <B + <C + <D = 180, hence;

4x - 14 + x - 1 + 6x + 8 = 180

11x -7 = 180

11x = 180+7

11x = 187

x = 187/11

x = 17

Hence the value of x is 17