122k views
3 votes
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

User Utechtzs
by
8.3k points

1 Answer

3 votes

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

User Niharvey
by
8.6k points

Related questions

asked Oct 17, 2024 190k views
Stobbej asked Oct 17, 2024
by Stobbej
7.8k points
1 answer
3 votes
190k views