Question

an angle exceeds in supplement by 50. what is its angle

Answer 1

Heya mate! Here is your answer ✌☺☺



Let the first angle be x

Given, an angke exceeds the supplement by 50°

So, let the second angle be x + 50

Supplementary angles are the angles which add upto 180°.

For example, 90° and 90°, 160° and 20°, etc.


According to the question,

x + x + 50 = 180°

➾ 2x + 50 = 180°

➾ 2x = 180 - 50

➾ 2x = 130°

➾ x = $\dfrac{130}{2}$

➾ x = 65°



1st angle ➾ x°

➾ 65°


2nd angle ➾ x + 50

➾ 65 + 50

➾ 115°




∴ The two angles are 65° and 115° respectively

Answer 2

here is your answer OK ☺☺☺☺☺☺☺


As we know that the when the sum of the two angles are equal to 180o they are called supplementary angles.

Now let assum that one of the angle be ao, the the other angle will be (a + 50)o.

Then:

a + (a + 50) = 180

2a = 180 - 50

a = 130/2 = 65o.

So the so other angle will be (65 + 50)o = 115o.

Ans: The supplement angles are 65o 115o.