Unfortunately, since I am unable to see the figure, I cannot provide specific measurements or angles. However, I can provide general formulas and concepts that can be used to find the values you are looking for.
1) To find <PQT, you can use the fact that the tangent to a circle is perpendicular to the radius at the point of tangency. This means that <TPO and <PQT are complementary angles. So, if <TPO is 28 degrees, then <PQT will be 90 - 28 = 62 degrees.
2) To find <QTO, you can use the fact that the angle formed by two tangents drawn from an external point to a circle is equal to half the difference of the intercepted arcs. In this case, the intercepted arc by angle ORQ is the arc QR. So, if <ORQ is 15 degrees, then <QTO will be half the difference between the degrees of the intercepted arc and a full circle (360 degrees). If you know the measure of the intercepted arc QR, you can subtract it from 360 and divide the result by 2 to find <QTO.
In the figure above, TP is a Tangent to the circle TRQ with centre O. If <TPO=28⁰ and <ORQ=15⁰, find;
1) <PQT
2) <QTO
1 answer
1 answer