Measures of Angles Arcs and Chords

Given ⨀O with diameter CD and ABIICD and the measure of arc AB = 80˚, find arc CA. 

• 50˚

• 55˚

• 60˚

• 65˚

In a circle or congruent circles, congruent central angles have congruent__________

In a circle or congruent circles, congruent __________ have congruent arcs.

In a circle or congruent circles, congruent arcs have congruent ____________.

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

• 34

• 181

The measure of arc HJ = 110 degree and arc LJ = 150 degree, what is the measure of angle K?

In circle O, the measure of arc AB = 120 and measure of arc BC = 150. Find the measure of angle 2.

Quadrilateral LOVE is inscribed in the circle as shown. If the measure of angle V = 140 degree, what is the measure of arc ELO?

• 140⁰

• 80⁰

• 280⁰

• 40⁰

In a circle or in congruent circles, two minor arcs are congruent if and only if their corresponding ___________ are congruent.

• central angle

• inscribed angle

• intercepted arc

• congruent arc