Question

I JUST NEED 2. ANSWERED! THIS IS DUE! Solve for x

Answer 1

x= 24

Explanation:

Given: A || B

This means that A is parallel to B.

Properties we can make use of when we have parallel lines are corresponding angles (e.g. ∠1= ∠4) and interior angles (e.g. ∠2 +∠4= 180°).

Let's make use of corresponding angles.

∠6= (3x +7)° (corr. ∠s, A||B)

Since D is a straight line and the sum of the angles on a straight line is 180°,

(4x +5)° +∠6= 180° (adj. ∠s on a str. line)

Substitute ∠6= (3x +7)°:

(4x +5)° +(3x +7)°= 180°

Simplify:

(7x +12)°= 180°

7x +12= 180

7x= 180 -12

7x= 168

Divide both sides by 7:

x= 168 ÷7

x= 24

Answer 2

x=24

Explanation:

Since line A and B are parallel, 3x+7 is equivalent to Angle 6 as they are corresponding angles.

We also know that 4x+5+Angle 6 = 180 as they are a linear pair. We can use substitution and substitute 3x+7 for Angle 6...

4x+5+3x+7=180

7x+12=180

7x=168

x=24