Question

if two angles are said to be supplementary angles and one of angle is of 122 degree than other angle is of​

Answer 1

Answer:

Supplementary angles = sum of two angles is 180°

One of the angle is 122°

Then,other will be 180°-122°

=158°

Step-by-step explanation:

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Answer 2

Given: One of the supplementary angles is of measure 122°

To find: The other angle of supplementary pair

Let: The other angle be $x$

Solution:

Two angles are called supplementary angles if their sum is 180°.

According to the given question,

One of the supplementary angles measures 122°.

Also, based on the assumption made, second angle is $x$.

So, sum of these two supplementary angles must be equal to 180°.

∴ $x$ + 122° = 180°

⇒ $x =$ 180° - 122°

⇒ $x$ = 58°

Hence, the other angle is of 58 degree.