Question

<1 and <2 are vertical angles. m<1 = (7x-8)° and m<2 = (5x + 34)º.

What is the value of X?

Answer 1

x = 21

Explanation:

We know that,

Vertical angles are equal to each other.

Therefore,

`\sf \: m < 1 = m < 2 \\ \sf7x - 8 = 5x + 34`

Let us solve the above expression and find the value of x.

`7x - 8 = 5x + 34`

First, subtract 5x by both sides.

`7x - 5x - 8 = 34 \\ 2x - 8 = 34`

And now, add 8 to both sides.

`2x = 34 + 8 \\ 2x =4 2`

Divide both sides by 2.

`x = 21`

Answer 2

x = 21

Explanation:

Vertical angles are equal

7x - 8 = 5x+34

Subtract 5x from each side

7x-8-5x = 5x+34 - 5x

2x -8 = 34

Add 8 to each side

2x-8+8 = 34+8

2x = 42

Divide each side by 2

2x/2 = 42/ 2

x = 21