Question

If mZT = (2x + 85), m ZV = (5x + 29)", and

the sum of the measures of the angles is
930, find the measure of each angle.

Answer 1

Solving for x;

2x + 85 + 5x + 29 = 930

combine like terms:

7x + 114 = 930

-114 -114

7x = 816

/7 /7

x = 116.57, now we replace the x with it's actual value:

∠ZT = 2(116.57) + 85 = 318.14°

∠ZV = 5(116.57) + 29 = 611.85°, lets double check if they both equal 930;

318.14 + 611.85 = 929.99, which is close to 930 so we are correct.