Question

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

Answer 1

6 degrees

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