Question

Two supplementary angles differ by 42 °. One of these angles is:​

Answer 1

Given,

Two supplementary angles differ by 42°.

To find,

One of these angles.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the two numbers are x° and (x-42)°, respectively. {Since according to the question, both angles differ by 42°}

Now, according to the question;

The two angles are supplementary

=> sum of both the angles = 180°

=> x° + (x-42)° = 180°

=> 2x - 42 = 180

=> 2x = 180 + 42 = 222

=> x = 222/2

=> x = 111°

So, the first angle is x°, that is, 111°.

And, the second angle is (x-42)°, that is (111-42)° = 69°.

Hence, the two supplementary angles are 110° and 69°, respectively.