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Find the measure of the exterior angle

Find the measure of the exterior angle-example-1
User Wankata
by
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2 Answers

6 votes

Answer:

108°

Explanation:

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

2a is an exterior angle of the triangle, thus

2a = a + 10 + 44 = a + 54 ( subtract a from both sides )

a = 54 , thus

2a = 2 × 54 = 108°

User Mhsekhavat
by
5.8k points
6 votes

Answer:

98°

Explanation:

The sum of two interior angles in a triangle is equal to an exterior angle's measure

a + 10 + 44 = 2a add like terms

a + 54 = 2a subtract a from both sides

54 = a and since the measure of exterior angle is 2a

2 × 54 = 98°

User Guisantogui
by
5.3k points