Answer:
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.