Question

In circle K, what is the value of x?
(5x)

Answer 1

I think 5x represents 90 degrees.

5x = 90

x = 90/5

x = 18

Answer 2

`x = 18 \degree`

Step-by-step explanation

A semicircle subtends an angle of 90° at the circumference.

From the diagram, the semicircle subtends an angle of (5x)° at the circumference.

We equate this angle to 90° and solve for x.

This implies that,

`5x = 90 \degree`

Divide both sides by 5.

`x = (90)/(5)`

`x = 18 \degree`