Two angles of a quadrilateral are72° and 56° respectively and the remaining two angles are in the ratio 3:5 .Find the measure of each angle of the quadrilateral
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Hi friend!
Angle sum of quadrilateral = 360°
The four angles = 72°, 56°, 3x and 5x
Their sum
72+56+3x+5x=360
128 + 8x = 360
8x = 360 - 128
8x = 232
x = 232/8
x = 29
Third angle = 3x = 87°
Fourth angle = 5x = 145°
You can check this by adding all the four:
72 + 56 + 87 + 145
= 128 + 232
= 360
.°. Proved.
Hope you found my answer useful .
Angle sum of quadrilateral = 360°
The four angles = 72°, 56°, 3x and 5x
Their sum
72+56+3x+5x=360
128 + 8x = 360
8x = 360 - 128
8x = 232
x = 232/8
x = 29
Third angle = 3x = 87°
Fourth angle = 5x = 145°
You can check this by adding all the four:
72 + 56 + 87 + 145
= 128 + 232
= 360
.°. Proved.
Hope you found my answer useful .
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