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
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