Question

An angle is 50 degree more than its supplement find the angle

Answer 1

Answer:

Required value of the angle is 115°

Step-by-step explanation:

Given, an angle is 50 degree more than its supplement.

Let the angle be x

So, according to question it's suppliment angle is (x-50)

We know sum of two supplimentary angle is equal to 180°.

By some examples,we can understand this concept more easily.

Example -1:

We are taking an angle 50°.

Then supplimentary angle of 50°

$= {180}^{o} - {50}^{o} \\ = {130}^{o}$

Example -2:

We are taking an angle 70°.

Then supplimentary angle of 70°

$= {180}^{o} - {70}^{o} \\ = {110}^{o}$

It this question two supplimentary angles are x and (x-50)

So,

$x + (x - 50) = 180 \\ x + x - 50 = 180 \\ 2x - 50 = 180 \\ 2x = 180 + 50 \\ 2x = 230 \\ x = \frac{230}{2} \\ x = 115$

So, required angle is 115°

Know more about angle:

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