Question

I need to solve for x. The interior angles are 30 and 4x+2. The exterior angle is 8+6x.

Answer 1

x = 12

Explanation:

Hope this helps

Answer 2

x = 12

Explanation:

By the property of exterior angles of a triangle,

"Exterior angle of a triangle is equal to the sum of opposite angles of the triangle"

Since, ∠HRQ is the exterior angle of ΔPRQ and ∠RPQ and ∠RQP are the opposite angles.

m∠HRQ = m∠RPQ + m∠RQP

(8 + 6x)° = 30° + (4x + 2)°

6x - 4x = 30 + 2 - 8

2x = 24

x = 12

Therefore, value of x is 12.