Answer:
140.3°
Step-by-step explanation:
Given the following angles
Interior angles are 110° and x°
Exterior angle = (4x+7)°
Using the triangular property which says that the sum of interior angle of a triangle is equal to its exterior angle, we have:
110 + x = 4x + 7
110 - 7 = 4x-x
103 = 3x
x = 103/3
x= 34.3°
Get the exterior angle
Exterior angle = 4x+7
Exterior angle = 4(34.3)+7
Exterior angle = 137.3+7
Exterior angle = 140.3°
Hence the measure of the exterior angle shown is 140.3°
