Question
In a parallelogram $RING$ (figure), if m$∠R = 70^\circ $, find all the other angles.
✓
Answer
Given: $m∠R = 70^\circ $
Then $m∠N = 70^\circ $because $∠R$ and $∠N$ are opposite angles of a parallelogram.
Since $∠R $ and $∠I$ are supplementary,
$m∠I = 180^\circ – 70^\circ = 110^\circ $
Also, $m∠G = 110^\circ $ since $∠G$ is opposite to $∠I $
Thus, $m∠R = m\angle N = 70^\circ $ and $m∠I = m∠G = 110^\circ $
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