If the opposite angles in a parallelogram are given as (4p - 20)° and (70 - 2p)°, then what is the value of p + 15° ?

15°

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30°

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45°

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60°

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Solution

The correct option is B 30°
We know that opposite angles in a parallelogram are equal.
Hence, 4p - 20° = 70° - 2p
4p - (-2p) = 70° - (-20°)
4p + 2p = 70° + 20°
6p = 90°
p = 15°
p + 15° = 15° + 15° = 30°.

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