Question

identify which of the following pairs of angles are supplementary and complementary. a) 110 degree, 70 degree. b) 70 degree, 20 degree c) 45 degree, 135 degree​

Answer 1

✬ Option (a) & (c) ✬

Step-by-step explanation:

Given:

• Pair of angles are (a) 110° , 70°
• (b) 70° , 20° , (c) 45° , 135°

To Find:

• Which pair of angles are supplementary angles?

Solution: If the sum of two angles are of 180° then angles are said as Supplementary angle. Lets check here

(a) First angle is 110° and second is 70°

➸ ( First + Second ) = 180°

➸ ( 110° + 70° ) = 180°

➸ 180° = 180°

So, these pairs of angles are Supplementary.

(b) First angle is 70° and second is 20°

➸ ( First + Second ) = 180°

➸ ( 70° + 20° ) = 180°

➸ 90° ≠ 180°

So, these pairs of angles are not Supplementary.

(c) First angle is 45° and second is 135°

➸ ( First + Second ) = 180°

➸ ( 45° + 135° ) = 180°

➸ 180° = 180°

So, these pairs of angles are Supplementary.

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★ Sum of two angles whose sum is of 90° are called complementary angles.

Answer 2

option a and c is correct