Question

What is the value of x? Drawing is not to scale.

Answer 1

Option A.

Explanation:

In the figure attached,

Two lines are intersecting each other at a point.

Angles formed 142° and (2x + 24)° will be vertically opposite angles and equal in measure.

2x + 24 = 142

2x = 142 - 24

2x = 118

x =
`(118)/(2)`

x = 59

Therefore, Value of x is = 59.

Option A will be the answer.

Answer 2

59

Explanation:

The two angle are vertical angles which means they are equal

2x+24 = 142

Subtract 24 from each side

2x +24-24 = 142-24

2x = 118

Divide by 2

2x/2 = 118/2

x = 59