Question

One of the angles of a pair of supplementary angles is 20° more
than its supplement. Find the angles?

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Answer 1

Answer:

Answer is 160

Step-by-step explanation:

sum of two supplementary angle = 180

one of the supplementary angle= 20°

let another angle =x

x= 180°-20°

=160°

therefore 2nd angle the supplementary angle is 160°

Answer 2

Given :-

One of the angles of a pair of supplementary angles is 20° more  than its supplement.

To Find :-

The angles.

Analysis :-

Consider the supplementary angle as a variable.

Make an equation accordingly which shows that the variable less than one of the angles of pair of supplementary angles which is equal to the sum of supplementary angles.

Then find the value of the variable accordingly.

Solution :-

Let the other angle be 'x'.

We know that,

Sum of the supplementary angles = 180°

Making an equation,

20 + x = 180

By transposing,

x = 180 - 20

x = 160°

Therefore, the other angle is 160°.