Question

two supplementary angles differ by 34 degree. Find the angles

Answer 1

Solution is in the attachment....

Answer 2

The two supplementary angles are 73° and 107°.

Given:

Two supplementary angles differ by 34°.

To Find:

The value of two angles.

Solution:

We are required to find the value of two supplementary angles.

We know that the two angles are said to be supplementary angles when their sum is 180°.

Let us consider that x and y are the two supplementary angles.

Then, x+y = 180°

y = 180-x

From the given data,

x-(180-x) = 34°

x-180+x = 34°

2x = 180+34

2x = 214

x = 214/2

x = 107°

y = (180-x)

  = 180-107

  = 73°

Therefore, The two supplementary angles are 73° and 107°.

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