Question

Determine the value of x in each diagram

Answer 1

x = 14

Explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

∠ GFD = 90° is an exterior angle of the triangle , then

90 = 3x + 2 + 2x + 18 ( collect like terms on right side )

90 = 5x + 20 ( subtract 20 from both sides )

70 = 5x ( divide both sides by 5 )

14 = x

Answer 2

Explanation:

90 + 3x + 2 + 2x + 18 = 180

5x + 110 = 180

5x = 180 - 110

5x = 70

x = 14