An angle is equal to one-ninth of its supplement what is the measure of that angle

Question

asked Jul 17, 2024 4.4k views

1 Answer

Glenn Gordon · Answer 1 · 2024-07-22T06:25:58+0000

Answer:

$\boxed{\rm{18°}}$

Explanation:

Let the angle be x. Then its suplement will be 9x. As according to question, the angle is equal to one-ninth of its supplement.

We know, supplementary angles add upto 180°. We can form an equation with this to calculate x:

$x + 9x = 180 \degree$

$10x = 180 \degree$

$x = 18 \degree$

Measure of the angle is 18° (ans)