Question

Please help me ASAP!!!

What are the numerical measures of each angle in the diagram?

∠1 and ∠3 measure _____ degrees.

∠2 and ∠4 measure ____ degrees.

Thank you so much!!

Answer 1

2x +9 = 3x - 1

2x - 3x = -9 -1

-x = -10

x = 10

2(10) + 9 = 29

so angles 1 and 3 measure 29 degrees

360 - 2(29) = 302 degrees

302/2 = 151 degrees

so angles 1 and 3 measure 151 degrees

Answer 2

2x + 9 = 3x - 1

9 + 1 = 3x - 2x

10 = x

2(10) + 9 = 29

angle 1 and 3 is 29°

180 - angle 3 = angle 4

180 - 29 = 151

angle 4 and 2 is 151°