Question

which pair of following angles are supplementary ?
a) 110°,50°
b) 105°,65°
c) 50°,130°
d) 45°,45°​

Answer 1

Given :

Which pair of following angles are supplementary?

• 110°,50°

• 105°, 65°

• 50°, 130°

• 45°, 45°

Solution :

First, let's know what are supplementary angles.

Supplementary angles are the angles that add upto 180°.

Now, let's add each of the angles and check whether they add upto to 180° or not :

• 110°, 50°

: 110° + 50°

: 160° ≠ 180°

• 105°, 65°

: 105° + 65°

: 170° ≠ 180°

• 50°, 130°

: 50° + 130°

: 180° = 180°

• 45°, 45°

: 45° + 45°

: 90° ≠ 180°

_____________________

Therefore, 50°, 130° [Option C] are supplementary angles.

Answer 2

Given:

Which pair of following angles are supplementary?

110°,50°

105°, 65°

50°, 130°

45°, 45°

Solution:

First, let's know what are supplementary angles.

Supplementary angles are the angles that add upto 180°.

Now, let's add each of the angles and check whether they add upto to 180° or not :

110°, 50°

: 110° + 50°

: 160° ≠ 180°

105°, 65°

: 105° + 65°

: 170° ≠ 180°

50°, 130°

: 50° + 130°

: 180° = 180°

45°, 45°

: 45° + 45°

: 90° ≠ 180°

_____________________

Therefore, 50°, 130° [Option C] are supplementary angles.