Question

can someone plzz help . Write and solve an the equation to find the value of x and the missing angle measures​

Answer 1

Given:

2 angles,

14x + 8

16x - 8

To find:

The value of x

Steps:

Since the 2 lines are parallel and there is an intersecting line, then the angles are corresponding to each other. So,

14x + 8 = 16x - 8

Bringing the like terms together, we get

8 + 8 = 16x - 14x

16 = 2x

2x = 16

x = 16/2

x = 8

So,

14x + 8 = 14(8) + 8 = 112 + 8 = 120°

16x - 8 = 16(8) - 8 = 128 - 8 = 120°

Therefore, the value of x is 8 and the measure of the angles is 120° for both as both angles are corresponding angles

Happy to help :)

If you need any help, feel free to ask

Answer 2

x=8

Angles = 120

Explanation:

The angles are corresponding angles and corresponding angles are equal when the lines are parallel

14x+8 = 16x -8

Subtract 14x from each side

14x+8-14x = 16x-14x -8

8 = 2x-8

Add 8 to each side

8+8 = 2x-8+8

16 =2x

Divide by 2

16/2 = 2x/2

8 =x

The angles are equal

14x+8 = 14(8) +8 = 120