Question

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?

Answer 1

It is 60 degrees, because we know that angle U is 25 degrees, and we can figure out that angle T is 95 degrees because angle W is 95 degrees. The sum of the angles of a triangle is 180 degrees.

180-(95+25)=180-120=60

Answer 2

Answer: 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