Question

Two supplementary angles differ by 500.Find the measure of each angle.

Answer 1

angles can only differ upto 359 degrees

they cant differ by 500

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Answer 2

According to details given in the question.

We have to find the angle .

Explanation:

Given,

Two supplementary angles differ by 50°.

Step-1:

The sum of two supplementary angles is 180°

Let one angle be X

other number be Y

So,

$X+Y=180° \: \: \: \: ...(1)$

Step-2:

The two angles differ by 50°.

$X - Y = 50° \: \: \: \: \: ...(2)$

Step-3:

Now,Add equation (1) and (2) we get

$X+Y+X-Y=180°+50°$

Add the same variable according to the BODMAS

$2X=230°$

Now shift the value toward Right hand side ,

$X= \frac{230°}{2}$

$X= 115°$

Step-4:

Put the value of X= 115° in equation (1) .

$115°+Y=180°$

Shift value toward Right hand side ,

$Y=180° - 115°$

$Y= 65°$

Hence ,

One number is 115° and other number is 65°.

Project code #SPJ2

Question should be :

Two supplementary angles differ by 50°.Find the measure of each angle.

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