Question

-rectangle ptnm is a rectangle write the names of the pairs of supplementary angles

Answer 1

Answer:

If the sum of the measures of two angles is 180° they are known as supplementary angles. 

The measure of all the angles of a rectangle is 90°.

Hence, the pairs of supplementary angles are ∠P and ∠M, ∠T and ∠N, ∠P and ∠T, ∠M and ∠N, ∠P and ∠N, ∠M and ∠T.

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Answer 2

Solution:

▭ PTNM is a rectangle,

m∠P = 90°, m∠T = 90°, m∠M = 90°, m∠N = 90°.

➩ m∠P + m∠T = 90 + 90 = 180°.

∴ ∠P and ∠T are supplementary angles, as the sum of the measures of ∠P and ∠T is 180°.

➩ m∠P + m∠N = 90 + 90 = 180°.

∴ ∠P and ∠N are supplementary angles, as the sum of the measures of ∠P and ∠N is 180°.

➩ m∠P + m∠M = 90 + 90 = 180°.

∴ ∠P and ∠M are supplementary angles, as the sum of the measures of ∠P and ∠M is 180°.

➩ m∠T + m∠N = 90 + 90 = 180°.

∴ ∠T and ∠N are supplementary angles, as the sum of the measures of ∠T and ∠N is 180°.

➩ m∠T + m∠M = 90 + 90 = 180°.

∴ ∠T and ∠M are supplementary angles, as the sum of the measures of ∠T and ∠M is 180°.

➩ m∠N + m∠M = 90 + 90 = 180°.

∴ ∠N and ∠M are supplementary angles, as the sum of the measures of ∠N and ∠M is 180°.

Answer:

∠P and ∠T, ∠P and ∠N, ∠P and ∠M, ∠T and ∠N, ∠T and ∠M, ∠N and ∠M are the pairs of supplementary angles.