Question

Given PR = RQ, find the measure of arc RQ and the Measure of arc PQ.

12. mRQ=
13. mPQ=
The measure of LABD = 11x - 3 and mZACD = 8x + 15. Find the following:
112
14. x=
15. mLABD =
17
16. m AD =
3/11
110'
(11x-3) B
E
(8x + 15)*
Please show work

Answer 1

x = 8

Explanation:

Intersecting tangent and secant theorem:

If a tangent and a secant are drawn to the circle from a point from outside, the square of the measure of the tangent is equal to the product of the measures of the secant segment and its external secant segment.

x² = (4+12)*4

x² = 16 * 4

x² = 64

x = √64

x = 8