3 years ago

Find the measure of the exterior angle.

Mathematics

1 answer:

Illusion [34]3 years ago

5 0

Answer:

108 degrees

Step-by-step explanation:

From the diagram we are given

Interior angles are 2x + 1 and 63 degrees

Exterior angle = 5x -2

The sum of interior angles is equal to the exterior angle

2x + 1 + 63 = 5x - 2

2x + 64 = 5x - 2

2x - 5x = -2-64

-3x = -66

x = -66/-3

x = 22

Get the exterior angle:

Exterior angle = 5x-2

Exterior angle = 5(22) - 2

Exterior angle = 110-2

Exterior angle = 108 degrees

Hence the measure of the exterior angle is 108 degrees

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