Q. 34.8( 5 Votes )
Two adjacent angles of a parallelogram are the ration 2:3. Find the measure of each of its angles.
A = 72°,B = 108°,C = 72°,D = 108°
Let x be the common multiple.
As per question,
A = 2x
B = 3x
C = 2x
D = 3x
A + B = 180° (Adjacent angles of parallelogram is supplementary)
2x + 3x = 180°
5x = 180°
X = 180 / 5 = 36°
A = 2 × 36° = 72°
B = 3 × 36° = 108°
C = 2 × 36° = 72°
D = 3 × 36° = 108°
So, Angles of quadrilateral are 72°, 108°, 72° and 108°.
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