Question

△abc is similar to △pqr. also, angle a measures 35° and angle b measures 50°. what is the measure of angle r? enter your answer in the box.

Answer 1

the inside of a triangle HAS to equal to 180 degrees no matter the shape or size. For triangle abc since angle a is 35 degrees and b is 50, that means that c is 95 degrees. Since both triangle are similar, angle r is going to also be 95.

Answer 2

Answer: Measure of angle R = 95⁰.

Explanation:

Since we have given that

△ABC is similar to △PQR,

∠A=
`35\textdegree`

∠B=
`50\textdegree`

As we know that "Sum of interior angles of a triangle is equal to
`180\textdegree`"

So,

`\angle A+\angle B+\angle C=180\textdegree\\35\textdegree+50\textdegree+\angle C=180\textdegree\\85\textdegree+\angle C=180\textdegree\\\angle C=180\textdegree-85\textdegree\\\angle C=95\texdegree`

Since △ABC is similar to △PQR,

So,

∠A=∠P=
`35\textdegree`

∠B=∠Q =
`50\textdegree`

∠C=∠R=
`95\texdegree`

Hence, Measure of angle R = 95⁰.