Question

Find each angle of a parallelogram iftwo consecutive angles are in the ratio 1: 3.
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Answer 1

Answer:

45, 134

Step-by-step explanation:

3x+ x= 180(adjacent angles)

x=45

so 3x=135

x=45

Answer 2

Answer:

Angles of parallelogram are 135°, 45°, 135°, 45°

Step-by-step explanation:

Let the angles be x and 3x

So, All angles of parallelogram = x,3x,x,3x

(opposite angles are equal)

x+3x+x+3x = 360° (angle sum property)

8x = 360°

x = 360/8 = 45°

3x = 3×45 = 135°

x = 45°

Hence all angles of parallelogram are 135°, 45°, 135°, 45°