Question

In a parallelogram $RING$, if $m\angle R={70}^o$, find all the other angles.

Answer 1

We have,

A parallelogram $RING$, if $\angle R={70}^o$

Then, solve that,

$\angle I=?$

$\angle N=?$

$\angle G=?$

We know that,

Adjacent angles of parallelogram is supplementary.

Then,

$\angle R+\angle I={180}^o$

${70}^o+\angle I={180}^o$

$\angle I={180}^o-{70}^o$

$\angle I={110}^o$

But we know that,

Opposite angles of parallelogram are equal.

Then,

$\angle R=\angle N$

${70}^o=\angle N$

$\angle N={70}^o$

And

$\angle I=\angle G$

${110}^o=\angle G$

$\angle G={110}^o$

Hence, this is the answer.