Triangle stu is similar to triangle vwx. if angle u measures 25 degrees and angle w measures 95 degrees, what is the measure of angle s?

The correct answer is 60⁰

Explanation-

As per the question, Δ STU is similar to ΔVWX. This means that both these triangles are congruent to each other.

According to the property of congruent triangles-

∠S= ∠V, ∠T= ∠W, and ∠U= ∠X

∠U= 25⁰

∠W= 95⁰= ∠T

Since the sum of all angles of a triangle is 180⁰

⇒ ∠S+∠T+∠U = 180⁰

Putting the value of ∠T and ∠U, we get-

∠S+95⁰+25⁰ = 180⁰

              ∠S+ 120⁰  = 180⁰

              ∠S             =  180⁰-120⁰ = 60⁰

Thus, the measure of ∠S = 60⁰

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