Question

an angle is 10 degree more thAN ONE THIRD OF ITS COMPLEMENT.FIND THE GRATER ANGLE

Answer 1

x=30-x/3+10

4x/3=40

x=30

greater angle=60°

Answer 2

The greater angle is 60°

Step-by-step explanation:

Let the angle be x

Complementary angles : A pair of angles whose sum is 90° are called complementary angles.

Complement of x = 90-x

We are given that an angle is 10 degree more than one third of its complement .

So, $x-\frac{1}{3}(90-x)=10\\x-30-\frac{x}{3}=10\\\frac{2x}{3}=40\\x=\frac{40 \times 3}{2}\\x=60$

Complement = 90-x = 90-60 = 30°

Hence The greater angle is 60°

#Learn more :

If an angle exceeds complement by 20 degree find angle and complement

https://brainly.in/question/2066781