PQRS is a square. PR and SQ intersect at O. Then ∠POQ is a
(a) Right angle
(b) Straight angle
(c) Reflex angle
(d) Complete angle

Solution:

Given, PQRS is a square.

PR and SQ intersect at O.

We have to find the measure of ∠POQ.

Square is a regular quadrilateral, which has all the four sides of equal length and all four angles are also equal.

The angles of the square are at right-angle or equal to 90-degrees.

The diagonals of the square are equal and bisect each other at right angles.

The diagonals PR and SQ meet at O.

We know, PR and SQ bisect each other at 90-degrees.

Therefore, the measure of ∠POQ is 90 degrees.

✦ Try This: Two adjacent angles of a parallelogram are in the ratio 2 : 3. Then all the angles of the parallelogram are

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 44

PQRS is a square. PR and SQ intersect at O. Then ∠POQ is a (a) Right angle (b) Straight angle (c) Reflex angle (d) Complete angle

Summary:

PQRS is a square. PR and SQ intersect at O. Then ∠POQ is a right angle.

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