Given:
It is given that PR is tangent to clrcle Q at R and PS is tangent to circle Q at S.
We need to determine the measure of ∠P
Measure of ∠P:
Since, the angles P and Q are circumscribed angles. And the angles add up to 180°
Thus, we have;
[tex]\angle P+\angle Q=180^{\circ}[/tex]
Substituting [tex]\angle P=x^{\circ}[/tex] and [tex]\angle Q=2x^{\circ}[/tex] in the above formula, we get;
[tex]x^{\circ}+2x^{\circ}=180^{\circ}[/tex]
[tex]3x^{\circ}=180^{\circ}[/tex]
[tex]x=60^{\circ}[/tex]
Thus, the value of x is 60°
The measure of ∠P = x = 60°
Hence, the measure of ∠P is 60°
