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uranmaximum [27]
2 years ago
11

Interior and Exterior Triangle Angles please help asap !!!!

Mathematics
1 answer:
Fiesta28 [93]2 years ago
8 0

Answer:

∠ WUV = 36°

Step-by-step explanation:

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

∠ VWX is an exterior angle of the triangle, thus

8x - 18 = 2x + 8 + 3x + 16

8x - 18 = 5x + 24 ( subtract 5x from both sides )

3x - 18 = 24 ( add 18 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Thus

∠ WUV = 2x + 8 = 2(14) + 8 = 28 + 8 = 36°

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