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Determine the measure of angle UVT

Determine the measure of angle UVT-example-1
User Shendy
by
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1 Answer

4 votes

Answer:


UVT =40

Explanation:

Required

Solve for UVT

First, calculate UTV


UTV = 180 - UTB


UTV = 180 - 20x

Next:


UTV + VUT + UVT = 180 ---- angles in a triangle

So:


180 - 20x +60+7x+5 = 180

Collect like terms


- 20x +7x= 180-180-60-5


-13x= -65

Divide by -13


x = 5


UVT =7x+5


UVT =7*5+5


UVT =40

User Hugo Lesta
by
3.4k points