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Pls helpppppppppp meeeeee

Pls helpppppppppp meeeeee-example-1
User Ypicard
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1 Answer

5 votes
Answer is exterior angle = 116 degrees

Step by step

The exterior angle rule is the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

So our interior angles are
63 + (x + 24)

Our exterior angle is
4x

Our equation

4x = 63 + (x + 24)
Subtract x from both sides to isolate variable

4x - x = 63 +x + 24 -x
Simplify

3x = 87
Divide both sides by 3 to solve for x

3/3x = 87/3
Simplify

x = 29

Now the exterior angle is 4x

Substitute our value of x

4 (29) = 116

The exterior angle = 116
User Pseudocubic
by
8.0k points

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