Need a little math help?

Question

In the figure below, angle GAF is as twice as the angle DAG. Find x.

http://tinypic.com/view.php?pic=20zpd1i&s=4

Thank you in advance.

Answer 1

Okay with the given information, the key statement is "angle GAF is as TWICE as the angle DAG..." So from there you know that angle GAF is 70 because if it is TWICE angle DAG, then you just multiply 2*35 = 70.

Now that you have found the angle measure for GAF, you just set 2x + 50 equal to 70 in order to find x

2x+50=70

-50 from both sides

2x=20

divide by two to isolate the x

x=10.

Your final answer is 10.

Answer 2

2 of GAF = 1 of DAG

2 *35 = 2x+50

70 = 2x +50

20 = 2x

x = 10

Answer 3

2x+50 = 35(2)

2x+50 = 70

2x = 20

x = 10