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Find the measure of the exterior angle.
5x (6 + X6) 45°​

1 Answer

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The exterior angle in this problem is 63 degrees.

Relationship between interior angle and two exterior angles of a triangle

In any triangle, the relationship between an interior angle and its two corresponding exterior angles is that the sum of the measures of the exterior angles is always equal to 180 degrees. This is known as the Exterior Angle Theorem.

Since

45 + 5x = 9x + 9 (Exterior Angle Theorem)

Collect like terms

45 - 9 = 9x - 5x

36 = 4x

x = 6

The exterior angle is;

9(6) + 9

= 63 degrees

Find the measure of the exterior angle. 5x (6 + X6) 45°​-example-1
User Joe Scylla
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