Question

The measure of arc QS is (4x – 18)°.

What is the value of x?

40.5
49.5
94.5
180



ANSWER IS 49.5

Answer 1

49.5

Explanation:

Answer 2

Option B. 49.5 degrees

Explanation:

Given that arc QS measures 4x-18

Arc QS is a semicircle and hence subtended angle by semicircle at the centre is 180 degrees.

Use this to find the value of x

4x-18 = 180 degrees

Add 18 to both sides

4x=198

Divide by 4

x =198/4 =49.5

So answer is option B

49.5 degrees