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Find the measurements of the following angles. Fill in the blanks with your answer. Your answer should be numerical ( do not include degree sign) Use the picture below.

What is the measure of < ABC?
What is the measure of < CBD?
What is the measure of < GFH?

Angle ABC = 60, angle CBD = 120 and angle GFH = 60

Step-by-step explanation: Line ABD is parallel to line EFG. Line line CFH is a straight line that cuts across both parallel lines. Therefore, angle FBD and angle HFG are corresponding angles. That means angle FBD equals 3x. Also 3x plus 6X equals 180. That is,

3x + 6x = 180 {Sum of angles on a straight line equals 180}

9x = 180

Divide both sides of the equation by 9

x = 20.

That means angle 6x measures 6(20) and that is 120 degrees.

Also angle 3x measures 3(20) and that is 60 degrees.

Angle ABC + Angle CBD = 180 {Sum of angles on a straight line equals 180}

Angle ABC + 120 = 180

Angle ABC = 180 - 120

Angle ABC = 60

Also angle CBD equals 6x, and x = 20. Therefore angle CBD = 6 x 20

Angle CBD = 120.

And then, angle GFH = 3x, and x equals 20. Hence angle GFH = 60.

Therefore angle ABC = 60, angle CBD = 120 and angle GFH = 60.