Question

Solve for X. If m<1=(x+13)
M<2=39
M<3=(5x+4)

Thank you <3

Answer 1

x = 12

Explanation:

We know that,

The exterior angle of a triangle equals to the sum of opposite interior angles.

Accordingly,

`\angle \: 1 + \angle \: 2 = \angle \:3`

That is,

x + 13 + 39 = 5x + 4

Combine like terms.

x + 52 = 5x + 4

Subtract x from both sides.

52 = 5x - x + 4

52 = 4x + 4

Subtract 4 from both sides.

52 - 4 = 4x

48 = 4x

Divide both sides by 4.

12 = x

Answer 2

x = 9

Explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles.

<3 = <1 + <2

5x+4 = x+1 + 39

Combine like terms

5x+4=x+40

Subtract x from each side

5x-x+4=x-x+40

4x+4 = 40

Subtract 4 from each side

4x+4-4 = 40-4

4x = 36

Divide by 4

4x/4 = 36/4

x = 9