Question

Two adjacent angle of a parallelogram are as 1:3. Find the measures of all its angle.

Answer 1

Let the common multiple be x. Adjacent angles of a parallelogram

are x°&3x°

Adjacent angles are supplementry

Therefore,

x°+ 3x°=180

4x=180

x=45°

3x =3×45°

3x=135°

Opposite angles of a parallelogram are equal

Therefore,

Angles are :45°, 135°, 45°, 135 °