Question

The diagram shows triangle QRS with side SR on ray ST.


Part A. What is the measure of ∠QRS?

Part B. What is the measure of ∠Q?\
PLEASE HELP WITH ALL SERIOUSNESS AND A PROPER EXPLANATION

Enter the correct answers in the boxes.

Answer 1

The measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know in the triangle the sum of the two interior angles is equal to the exterior angle.

Angle RQS + Angle RSQ = Angle TRQ

4y + y = 145

5y = 145

y = 29

The measure of angle QRS = 180 - Angle RQS - Angle RSQ

= 180 - 4(29) - 29

Angle QRS = 35 degree

The measure of angle Q = 4y = 4(29) = 116 degree

Thus, the measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.

Learn more about the triangle here:

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