Question

What is the answer to the question?​

Answer 1

b=40

Explanation:

PQ=RQ

That means both sides are the same length which also means they both have the same angel measure of 140.

A super easy way to solve this would be to realize that where p is, the angel is 140.

A straight line is 180.

b and 140 are supplementary angels. [which means they equal 180]

To find b you can make an equation.

b+140=180

or

180-140=b

I'll show you both.

First one you would subtract 140 on both sides to get the variable alone, leaving you with b=40.

For the second one, you just do 180-140 and it also equals 40.

Either way it leaves you with b=40

If you need any more help with angels and whatnot, don't be afraid to reach out. I hope that helps! <3

Answer 2

Given : PQ = RQ

to find : angle B

• PQ = RQ
• Angle B = angle QRP ( angle opposite to equal side are equal). ...(1)
• angle QRP + 140° = 180° ( linear pair)
• angle QRP = 180° - 140°
• angle QRP = 40°
• from equation (1)
• Angle B = angle QRP = 40°