List the sides of ΔRST in ascending order (shortest to longest) if: m∠R =x+28°, m∠S = 2x+16°, and m∠T = x+12

Question

asked Sep 10, 2020 193k views

2 Answers

McBeth · Answer 1 · 2020-09-15T08:14:10+0000

Answer:

t, r, s

Explanation:

The sum of angles is 180°, so you have ...

(x +28) + (2x +16) + (x +12) = 180

4x + 56 = 180

4x = 124

x = 31

For this value of x, ...

2x+16 > x+28, so S is the largest angle and "s" is the longest side.

x +12 < x +28, so T is the smallest angle and "t" is the shortest side.

The sides, shortest to longest, are ... t = RS, r = ST, s = RT.