Question

Can someone explain this?

Answer 1

Answer:

144 degrees

Step-by-step explanation:

Linear pair angle must add up to 180 degrees. We don't know what the angle is, so the call the unknown angle Ѳ.

We know that the bigger angle is 4 times as big as the unknown angle, so it's equal to 4Ѳ.

Add up the two unknown angle: Ѳ+4Ѳ=180 , because we know they must add up to 180 since they are linear pair as defined above.

Solve for Ѳ.

Plug the solved value of Ѳ back into 4Ѳ to find out how big 4Ѳ is.