Find the measure of ∠P and ∠S, if bar SP || RQ in the following figure. (If you find m∠R, is there more than one method to find m∠P )

Question

Find the measure of ∠P and ∠S, if bar SP || RQ in the following figure. (If you find m∠R, is there more than one method to find m∠P )

Find the measure of ∠P and ∠S, if bar \(\overline {SP}|| \overline {RQ}\) in the following figure. (If you find m∠R, is there more than one method to find m∠P )

Asked by Aaryan | 1 year ago | 140

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Class 8 Maths Understanding Quadrilaterals Add Answer

1 Answer

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Accepted Answer

Solution :-

∠ P + ∠ Q = 180° (Angles on the same side of transversal)

∠ P + 130° = 180°

∠ P = 50°

∠ R + ∠ S = 180° (Angles on the same side of transversal)

90° + ∠ R = 180°

∠ S = 90°

Yes. There is one more method to find the measure of m∠ P.

m∠ R and m∠ Q are given. After finding m∠ S, the angle sum property of a quadrilateral can be applied to find m∠ P.

Answered by Sakshi | 1 year ago