1.

If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are(a) 72°, 108° (b) 36°, 54° (c) 80°, 120° (d) 96°, 144°

Answer»

(a) 72o, 108o

We know that, sum of adjacent angles of a parallelogram = 180o

Let us assume two angles be 2x and 3x

Then,

2x + 3x = 180o

5x = 180o

x = 180o/5

x = 36o

Therefore the two angles are 2x = 2 × 36 = 72o

3x = 3 × 36 = 108o



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