Question

Please help;
Find a, R, and T.

Answer 1

a = 4, R = 147, T = 33

Explanation:

find a

a/(a + 7) = (16/3)/(44/3)

a/(a + 7) = 16/44

44a = 16a + 112

44a - 16a = 112

28a = 112

a = 112/28

a = 4

find R

2x + 5 = 3x - 9

5 + 9 = 3x - 2x

14 = x

m ∠R = 180° - (2x + 5)

= 180 - (2(14) + 5)

= 180 - (28 + 5)

= 180 - 33

= 147°

find T

m ∠T = 3x - 9

= 3(14) - 9

= 42 - 9

= 33°