Theorems on Tangents to Circle

ABCD is a cyclic quadrilateral with AD = AB and AD is produced to E. If \angle CDE\ =\ 70\degree and \angle CDB\ =\ 72\degree , calculate \angle BAD

Given ⨀O with diameter CD̅̅̅̅. AB̅̅̅̅ ∥ CD̅̅̅̅ and m AB̂ = 80°. Find CA

• 50^o

• 55^o

• 60^o

• 65^o

Which of the following statements is NOT true about an inscribed angle?

• An angle inscribed in a semicircle is an obtuse angle.

• The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.

• If two inscribed angles intercept at the same arc or congruent arcs, then the angles are congruent.

• An inscribed angle is an angle whose vertex lies on the circle and whose sides contain chords of the circle.

Find the value of x

• 10

• 23

• 83

• 181