elwoodgirl
contestada

△QRS is inscribed in circle P. The measure of a central angle is twice the measure of an inscribed angle that subtends the same arc.


If m ∠QRS = 48°, find m ∠PSQ.
The angles starting at 2 oclock are Q R S

A. 96

B. 84

C. 42

d. 48

QRS is inscribed in circle P The measure of a central angle is twice the measure of an inscribed angle that subtends the same arcIf m QRS 48 find m PSQThe angle class=

Respuesta :

Given:

△QRS is inscribed in circle P.

The measure of angle QRS is 48°

We need to determine the measure of angle PSQ.

Measure of ∠PSQ:

It is given that the measure of a central angle is twice the measure of an inscribed angle that subtends the same arc.

Using the above property, we have;

[tex]\angle PSQ=2\angle QRS[/tex]

Substituting the values, we have;

[tex]\angle PSQ=2(48)^{\circ}[/tex]

Multiplying the values, we get;

[tex]\angle PSQ=96^{\circ}[/tex]

Thus, the measure of ∠PSQ is 96°

Hence, Option A is the correct answer.

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