Question

In this diagram, the measure of

Answer 1

Answer:

2x - 60 = 180

Step-by-step explanation:

Angles RQS and PQS form a linear pair, so they are supplementary.

The sum of their measure is 180°.

Both angle measures are unknow, so let's use x for the measure of <PQS.

The measure of angle RQS is 60° less than the measure of <RQS, so it is

x - 60

Now we add the measures and set the sum equal to 180.

x + x - 60 = 180

Combine like terms on the left side.

2x - 60 = 180

Answer: 2x - 60 = 180