Question

Find the value of x. Given: RS=ST, m∠RST=7x-54, m∠STU=8x

S
 Δ_U
RT
a.14
b.152
c.16
d.19

Answer 1

Given:

∠STU = 8x
∠RST = (7x – 54)

Solution:
∠SRT + ∠RST = 8x (exterior angle is sum of interior angles)
∠SRT + (7x – 54) = 8x
∠SRT = 8x – (7x – 54)
= x + 54

∠STR + ∠STU = 180 is the linear pair

x + 54 + 8x = 180

9x = 126

x = 14