Because G is a 90 degree angle ( right angle) the 2 angles given when added together also need to equal 90 degrees:
4x + 5x = 90
Combine like terms:
9x = 90
Divide both sides by 9:
X = 90/9
X = 10
2x and 8X are supplementary angles and need to equal 180 degrees when added together:
2x + 8x = 180
Combine like terms:
10x = 180
Divide both sides by 10:
X = 180 /10
X = 18
The inside angle where they have 32 is a vertical angle to 32 so it is also 32.
The four inside angles need to equal 360 degrees.
Subtract the 3 known angles from 360 to find x:
X = 360 - 158 - 148 - 32 = 22 degree.
