Question

IF TWO SUPPLEMENTARY ANGLES DIFFER BY 36°, FIND THE ANGLES.​

Answer 1

Answer:

Step-by-step explanation:

Supplementary angles are the angles that when added to each other 180 is obtained. So if x and y is a pair of supplementary angles then x+y = 180°

Given in this question is to find the supplementary angles if they differ by 36°.

So we can let the first angle be x.

The next angle will be x + 36.

And we know the sum is 180.

So we get this equation: x + x + 36 =180

2x + 36 = 180

2x = 180-36

2x = 144

x=144/2

or x = 72

So we got x that is 72.

Now to find x + 36 = 72+36=108

CHECK: 108+72=180

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Answer 2

Answer:

One angle is 108° and other angle is 72°

Step-by-step explanation:

Let 1st angle be x and 2nd angle be (x - 36°)

Therefore, angle1 = x

and angle2 = (x-36°)

Since, sum of two supplementary angles is 180°.

Then, angle1 + angle2 = 180°

=> x + x - 36° = 180°

=> 2x - 36° = 180°

=> 2x = 180°+ 36°

=> 2x = 216°

=> x = 216°/ 2

=> x = 108°

Therefore, angle1 = 108°

and angle2 = 108° - 36° = 72°

Hence, the supplementary angles are 108° and 72°.

Please go through the steps of explanation.

Thank You! =)