Practicing Success
In the figure, PA is a tangent from an external point P to the circle with centre O. If $\angle POB = 110^\circ$, then the measure of $\angle APO$ is: |
25° 30° 40° 20° |
20° |
\(\angle\)POB = \({110}^\circ\) \(\angle\)POB + \(\angle\)POA = 180 = 110 + \(\angle\)POA = 180 = \(\angle\)POA = 180 - 110 = 70 \(\angle\)OAP = 90 In triangle APO \(\angle\)APO + \(\angle\)POA + \(\angle\)OAP = 180 = \(\angle\)APO + 70 + 90 = 180 = \(\angle\)APO = 180 - 90 - 70 = \({20}^\circ\). |