Find the value of x. Given: Line RS≅ Line ST, m∠RST =8x−60, m∠STU=10x

image shows a triangle with vertexes, s r t and a continuous base line that is u.

1 answer

Since Line RS is congruent to Line ST, it means that Line RT is the base of an isosceles triangle with vertex angles at R and T. Therefore, m∠RST = m∠RTS.

We can set up an equation with this information:

8x - 60 = 10x

Solving for x:

-60 = 2x

x = -30

Therefore, the value of x is -30.
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