Answer: B) 35 degrees
Explanation:
Angles 4 and 8 are corresponding angles since they are both in the southwest corner of their respective 4 corner configuration.
Corresponding angles are congruent when we have parallel lines like this.
Set the expressions equal to each other and solve for x
angle 4 = angle 8
x+20 = 2x+5
x-2x = 5-20
-x = -15
x = 15
Use this x value to find the two angles to help confirm we have the correct x value, and to finish up to answer the question.
- angle 4 = x+20 = 15+20 = 35
- angle 8 = 2x+5 = 2(15)+5 = 30+5 = 35
So that's why the answer is B) 35 degrees
