Question

Solve for x. What is the measure of the exterior angle? ​

Answer 1

Answer:17

Explanation:

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Answer 2

Answer:

x = 17

Explanation:

SOLUTION,

Let the sides of the triangle be ∠ABC= 5x , ∠BAC=(2x+6) and ∠ACD= (8x-11)

Since the exterior angle of a triangle is the sum of two opposite interior angles

NOW,

∠ACD=∠ABC+∠BAC

⇒8x-11 = 5x + (2x+6)

⇒8x -11= 5x + 2x +6

⇒8x - 11 = 7x +6

⇒8x - 7x = 11 +6

⇒x = 17