Question

Find mJTS

A) 104°
C) 120°
E) 87°
B) 128°
D) 74°

Answer 1

104

Explanation:

∠JTS = ∠SRT + ∠TSR {exterior angles equals sum of opposite interiror angles}

27x - 4 = 18x + 2 + 30

27x - 4 = 18x + 32

Add 4 to both sides

27x = 18x + 32 + 4

27x = 18x + 36

Subtract 18x from both sides

27x - 18x = 36

9x = 36

Divide both sides by 9

x = 36/9

x = 4

∠JTS = 27x - 4

= 27*4 - 4

= 108 - 4

= 104