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Sum

In a parallelogram RING, if m∠R = 70°, find all the other angles.

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#### Solution

Given: m∠R = 70°

Then, m∠N = 70°

because ∠R and ∠N are opposite angles of a parallelogram.

Since ∠R and ∠I are supplementary,

m∠I = 180° – 70° = 110°

Also, m∠G = 110° since ∠G is opposite to ∠I

Thus, m∠R = m∠N = 70° and m∠I = m∠G = 110°.

Concept: Properties of a Parallelogram - Property: The adjacent angles in a parallelogram are supplementary.

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