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Types of Triangles Based on Angles

In triangle D...

Question

In triangle DEF, an exterior angle at F is represented as 8x + 15. If the two non-adjacent interior angles are represented as 4x + 5 and 3x + 20, find the value of x.

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Solution

The correct option is C
10

A measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
8x + 15= (4x + 5) + (3x + 20)
8x + 15 = 7x + 25
8x = 7x + 10

x = 10

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In triangle DEF, an exterior angle at F is represented as 8x + 15. If the two non-adjacent interior angles are represented as 4x + 5 and 3x + 20, find the value of x.

The correct option is C 10 A measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. 8x + 15= (4x + 5) + (3x + 20) 8x + 15 = 7x + 25 8x = 7x + 10 x = 10

The correct option is C
10

A measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
8x + 15= (4x + 5) + (3x + 20)
8x + 15 = 7x + 25
8x = 7x + 10

x = 10