SOLUTION: If Angle A is 20 degrees larger than angle B and angle C is half the sum of angle A and B, what do the angles measure?
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Question 958726: If Angle A is 20 degrees larger than angle B and angle C is half the sum of angle A and B, what do the angles measure? Answer by mukul76(5) (Show Source):
You can put this solution on YOUR website! Let the angle B be x.
As per the problem angle A=x+20,
And angle C=x+x+20/2
A+B+C=180°(angle sum property of ∆)
x+20+x+(2x+20/2)=180°
After solving left hand side we get 4x+40+2x+20. 6x+60
----------- = ------=180°
2. 2
6x+60=180*2
6x+60=360
6x=360-60
6x=300
x=300/6
x=50°
Angle A=x+20=50+20=70°
Angle B=x=50°
Angle C=x+x+20/2=(70+50)/2=120/2=60°
Therefore 70+50+60=180°
Hence proved.
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