In parallelogram PQRS, angle P and angle R are opposite angles given as $(4 y - 10)$ deg and $(3 y + 20)$ deg.
Find the measure of angle P (in degrees).

Question

In parallelogram PQRS, angle P and angle R are opposite angles given as (4y - 10) deg and (3y + 20) deg. Find the measure of angle P (in degrees).

Accepted Answer

110. Opposite angles are equal: 4y - 10 = 3y + 20, so y = 30. Angle P = 4(30) - 10 = 110°.

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