Answer:
x = 12
Explanation:
Given the triangle MNO which is extended through point O to point P, we are given the followings;
Interior angles;
∠MNO=(3x+11)
∠OMN=(2x+20)
Exterior angle;
∠NOP=(8x−5)
To find x, we will use the theorem, "The sum of the interior angles is equal to the exterior"
Hence;
3x+11+2x+20 = 8x - 5
5x + 31 = 8x - 5
Collect like terms;
5x - 8x = -5-31
-3x = -36
x = -36/-3
x = 12
Hence the value of x is 12