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In AUVW, m/U = (3x - 10)°, m/V = (6x + 5)°, and m/W = (4x - 10)°. What is the value of x?

User Kanav
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1 Answer

14 votes
14 votes

Answer:

x = 15

Explanation:

You have ∆UVW with angles U=(3x-10)°, V=(6x+5)°, and W=(4x-10)°, and you want to know the value of x.

Angle sum theorem

The angle sum theorem tells you the sum of angles in a triangle is 180°.

U +V +W = 180°

(3x -10)° +(6x +5)° +(4x -10)° = 180°

13x -15 = 180 . . . . . . . divide by °, collect terms

13x = 195 . . . . . . . add 15

x = 15 . . . . . . . divide by 13

The value of x is 15.

User Olokki
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