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I need help. How is this possible ?This is an exterior angle

I need help. How is this possible ?This is an exterior angle-example-1
User Aaron Novstrup
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1 Answer

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11 votes

Answer:

x = 36

The measure of the exterior angle is 114°

The remote interior angles are 24° and 90°.

Explanation:

The angle marked 3x + 6 is the exterior angle. The other two marked angles are called "remote interior angles"

The two remote interior angles added together equals the exterior angle.

3x+6 = 24° + 2x + 18

Combine like terms.

3x + 6 = 2x + 42

Subtract 2x from both sides.

x + 6 = 42

Subtract 6 from both sides.

x = 36

If required, use the x=36 to find the measure of the exterior angle.

3(36) + 6

= 108 + 6

= 114°

Or find the measures of the remote interior angles.

2(36) + 18

= 72 + 18

= 90°

The remote interior angles are 24° and 90°.

User Matteo Basso
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