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6 May, 05:19

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

+1
Answers (1)
  1. 6 May, 05:20
    0
    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
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