Examine the diagram. A triangle has angles A, 60 degrees, 55 degrees. A line is at the top of the triangle and forms angles B, C, and 65 degrees. Angle C is opposite to angle with measure 60 degrees. The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statement can be made from the diagram? mAngleB + mAngleC + 55° = 180° mAngleA + 60° + 55° = 180° mAngleC = 55° mAngleA = 55°

The correct answer would be "convenience"

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12