47.0k views
2 votes
What does b equal can i please have your help

What does b equal can i please have your help-example-1
User Char
by
4.0k points

2 Answers

3 votes

Answer:

x = 11

∠B = 80

Explanation:

∠A = ∠B

where

∠A = 8x - 8°

∠B = 5x + 25°

8x - 8° = 5x + 25°

8x - 5x = 25 + 8

3x = 33

x = 33/3

x = 11

plugin x into ∠B = 5x + 25°

∠B = 5x + 25°

∠B = 5(11) + 25°

∠B = 80

User Lourdesr
by
4.4k points
5 votes

Hey there! I'm happy to help!

These are corresponding angles since they both connect a parallel line and the transversal. This means they are congruent and have the same value. So, we can set up the following equation.

8x-8=5x+25

Subtract 5x from both sides.

3x-8=25

Add 8 to both sides.

3x=33

Divide both sides by 3.

x=11.

Have a wonderful day! :D

User Enid
by
5.1k points