One angle of a parallelogram is of measure 70 $°$ , find the measures of the remaining angles of the parallelogram.

Open in App

Solution

Let $□$ PQRS is a parallelogram in which $∠$ P = 70 $°$ and $∠$ P and $∠$ Q are adjacent angles.
∴ $∠$ P + $∠$ Q = 180 $°$ (Angles on the same side of a transversal are supplementary.)
$\Rightarrow$ 70 $°$ + $∠$ Q = 180 $°$
$\Rightarrow$ $∠$ Q = 110 $°$
$∠$ P = $∠$ R = 70 $°$ (Opposite angles of a parallelogram are equal.)
$∠$ Q = $∠$ S = 110 $°$ (Opposite angles of a parallelogram are equal.)

Suggest Corrections

Similar questions

70^{\circ}

70^{0}

One angle of a parallelogram is twice its adjacent angle. Find the measure of all the 4 angles of the parallelogram.

Measure of one of the angles of a parallelogram is twice the measure of its adjacent angle. Then angles of the parallelogram are

Join BYJU'S Learning Program