in RST, if R is five more than twice x, S is one more than x, and T is sixteen less than seven times x, find x and the measure of each angle

Question

in RST, if R is five more than twice x, S is one more than x, and T is sixteen less than seven times x, find x and the measure of each angle

x=

r=

s=

t=

Answer 1

angle R + angle S + angle T = 180

(5+ 2x) + (7x - 16) + (x + 1) = 180

10x - 10 = 180

10x = 190

x = 19

Therefore

angle R = 5 + 2(19) = 43 degrees

angle S = 19 + 1 = 20 degrees

angle T = 7(19)-16 = 117 degrees