Question

Can someone teach me how to do this????

Answer 1

Answer:

x = 12

Step-by-step explanation:

For this problem it is important to note that the sum of the two unknown angles' measurements is equivalent to the given known angle measurement as implied by the drawing.  With this in mind let's write our givens:

m<CGF = 10x - 10

m<HGC = 3x + 10

m<HGF = 156

So now let's form our equation to represent the drawing:

m<CGF + m<HGC = m<HGF

And now let's solve the equation to find the value of the x.

m<CGF + m<HGC = m<HGF

( 10x - 10 ) + ( 3x + 10 ) = 156

10x - 10 + 3x + 10 = 156

13x = 156

x = 12

Hence, our value for x is 12.

Cheers.