Question

In this figure, m∠1 = ( 3x + 10) and m∠5 =(4x+2)

What value of x makes a ll b ?

Answer 1

x=8

Explanation:

Angles 1 and 5 are corresponding angles.

If angles 1 and 5 are congruent, then the lines are parallel.

This means the measurement of angle 1 needs to equal the measurement of angle 5.

This is the equation we must solve:

3x+10=4x+2

Subtract 3x on both sides:

10=1x+2

Subtract 2 on both sides:

8=1x

Use multiplicative identity property:

8=x

So if x=8, then the angles 1 and 5 which are corresponding are congruent.

If corresponding angles are congruent, then the lines are parallel.