Question

Solve for x then find the measures of the following angles

Answer 1

x= 10 , DEG = 60 , GEF = 40

Explanation:

Firstly the angle DEH is 90 degrees because of the red square indicating it.

That means the angle DEF is also 90 degrees.

To find the x you would do:

6x + 4x = 90

now add the 6x and 4x together:

10x = 90

now divide 10 from both sides to isolate the x:

x = 10

now you have your x which is 10.

For angle DEG you plug in the 10 for the x:

DEG = 6(10)

after that you multiply the 6 and 10:

DEG = 60

For angle GEF you plug in the 10 for the x:

GEF = 4(10)

after that you multiply 4 and 10:

GEF = 40