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alina1380 [7]
2 years ago
7

Angle EFG and angle HFG have a ratio of 1:3. Find angle EFH

Mathematics
1 answer:
marysya [2.9K]2 years ago
3 0

The measure of the angle EFH if angle EFG and angle HFG have a ratio of 1:3 is 80degrees

The point where two lines meet or intersect is known as an angle

Given the following angles

<EFG = 6x - 40

<HFG = 70 - x

If angle EFG and angle HFG have a ratio of 1:3, then;

<EFG:<HFG = 1:3

<EFG/<HFG = 1/3

<HFG = 3<EFG

Substitute the given angles

70 - x = 3(6x - 40)

70 - x = 18x - 120

-x - 18x = -120 - 70

-19x = -190

x = 190/19

x = 10

Get the angle EFH

<EFH = <EFG + HFG

<EFH = 6x-40+70-x

<EFH = 5x + 30

<EFH = 5(10) + 30

<EFH  = 50 + 30

<EFH  = 80

Hence the measure of the angle EFH is 80degrees

Learn more here: brainly.com/question/17247176

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