Two angles of a quadrilateral are 70 and 40 respectively and the remaining two angles are in the ratio of 2:3. Find the measure of each angle of quadrilateral.
Answers
Answered by
8
This can be equated as:
70 + 40 + 2x + 3x = 360
110 + 5x = 360
5x = 360 - 110
5x = 250
x = 250/5
x = 50
2 x (50) = 100
3 x (50) = 150
Proof: 70 + 40 + 100 + 150 = 360
Hope it helps you
70 + 40 + 2x + 3x = 360
110 + 5x = 360
5x = 360 - 110
5x = 250
x = 250/5
x = 50
2 x (50) = 100
3 x (50) = 150
Proof: 70 + 40 + 100 + 150 = 360
Hope it helps you
Answered by
3
Let common ratio be x
Ratio 2x:3x
Two angles of quadrilateral are 70°;40°
A.T.Q.
2x+3x+70+40=360 (Angle sum property of quadrilaterol)
5x+110=360
5x=360-110
5x=250
x=250/5
x=50
2x=2×50 =100
3x=3×50=150
Measure of each angle is 70,40,150,100
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