The angles of a triangle ABC are such that angle B is double of angle A; and angle C is 20° more than angle A. What is the measure of each angle?
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Answers
Answered by
7
angle A = 40
angle B = 80
angle C = 60
angle B = 80
angle C = 60
Answered by
15
m<a=?
m<b=a+a
m<c=20+a
=> <a+<b+<c=180°
=> a+a+a+20+a=180°
=> 4a+20=180°
=> 4a=180°-20
=> 4a=160°
=> a=160/4
=> a=40
now
<a=40°
<b=a+a=40+40
=80°
<c=20+a=20+40
=60°.
m<b=a+a
m<c=20+a
=> <a+<b+<c=180°
=> a+a+a+20+a=180°
=> 4a+20=180°
=> 4a=180°-20
=> 4a=160°
=> a=160/4
=> a=40
now
<a=40°
<b=a+a=40+40
=80°
<c=20+a=20+40
=60°.
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