Question

The measure of arc QS is (4x – 18)°. What is the value of x? 40. 5 49. 5 94. 5 180.

Answer 1

The measure of the value of x is 49.5 degrees, the correct option is B.

Given

The measure of arc QS is (4x – 18)°.

The measure of arc

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

The measure of the arc QS is (4x – 18)° is equal to 180 degrees.

Then,

The value of x is;

$\rm 4x-18=180\\\\4x=180+18\\\\4x=198\\\\x=\dfrac{198}{4}\\\\x=49.5$

Hence, the measure of the value of x is 49.5 degrees.

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