Question

Solve for x

Please assist me with this​

Answer 1

`9 = x`

Explanation:

Set the exterior angle equal to its opposite side:

`13x + 13 = 6x + 76`

-13x - 13x

_______________________

13 = -7x + 76

-76 - 76

______________

-63 = -7x

___ ___

-7 -7

9 = x

* The way we could confirm this is to plug this back into all the equations for every x you see and get this:

70° = m∠E, therefore...

50° = m∠G

180° = 50° + 70° + 60°

** Then, since 13 + 13x and the m∠G form a linear pair, according to the Supplementary Angles Theorem, we have this [bottom]:

130° = 13 + 13[9]

117

180° = 50° + 130° ☑☑☑

CONFIRMED!

I am joyous to assist you anytime.

Answer 2

x=9

Explanation:

13 x+13= 6 x+16+60

13 x-6 x=16+60-13

7 x=63

x=63/7=9