In ΔTUV, m∠T = (10x+14), m∠U = (x-7), and m∠V = (2x+4). Find m∠U.

Question

Nyasia Graham

Mathematics

30 January, 13:38

In ΔTUV, m∠T = (10x+14), m∠U = (x-7), and m∠V = (2x+4). Find m∠U.

+2

Answers (1)

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Avery Madden · Answer 1

6 degrees

Step-by-step explanation:

In ΔTUV, m∠T = (10x+14), m∠U = (x-7), and m∠V = (2x+4). Find m∠U.

We know that the sum of all the angles is 180

Hence

m∠T + m∠U + m∠V = 180

(10x+14) + (x-7) + (2x+4) = 180

10x+14+x-7+2x+4 = 180

13x+11=180

13x=169

x=13

m∠U = (x-7)

=13-7=6