Question

in a parallelogram PQRS,angle P:Q:R:S=1:4:2:2,then find all angles.

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Answer 1

Answer:

Below in bold.

Step-by-step explanation:

In a parallelogram opposite angles are equal so the angles can't be in the ratio in the question.

This is a quadrilateral with 2 adjacent angles equal.

<P = 360 * 1 / (1+4+2+2)

=360 * 1/9 = 40 degrees.

<Q = 360 * 4/9 = 160 degrees.

< R = 360 * 2/9 = 80 degrees

< S = 80 degrees.