Question

Two supplementary angles differ by 46 degrees. Find the angles

Answer 1

Let the angle be x

hence ,other angle = x - 46

Now ,since the sum of supplementary angles is 180°

Thus, x+(x-46) = 180

=> 2x = 180 +46

=> 2x = 226

=> x = 113

♣1st angle =>x = 113

♣2nd angle

=> x-46 = 113-46

= 67

Answer 2

Hey friend!

Here is your answer;

Let one angle be x and another angle be 180 - x

Now,
x - (180 - x) = 46
=> x + x - 180 = 46
=> 2x = 46 + 180
=> 2x = 226
=> x = 113 degree

Then, 180 - x = 67 degree

Hence, 67 degree and 113 degree are the measures of the angles.



I hope it helps you and please respond with a thanks if you appreciate my answer