Angle Relationships Answers

equal toone-halftwice✔ 180 minus

✔ equal toone-halftwice180 minus

The measure of central angle LOP is °. The length of LP is units. The length of MP is units.

8.516.5✔ 1734

8✔ 151720

What is the measure of angle WZY?

35.5✔ 54.571109

Use the diagram to complete the statements. The measure of minor arc EF is °. The measure of angle DAB is °.

Which statements are true? Check all that apply.

What is the measure of angle OAC if major arc AB measures 220 degrees?

We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because . We also know that AC ≅ BC since . Using the reflexive property, we see that . Therefore, we conclude that △ACO is congruent to △BCO by the .

side CA is congruent to side CBside AO is congruent to side BO✔ side CO is congruent to side COside AB is congruent to side CO

✔ SSS congruency theoremASA congruency theoremHL congruency theoremAAS congruency theorem

all radii of the same circle are congruentall right angles are congruent✔ tangents to a circle that intersect are congruentit shows the reflexive property

What is the perimeter of kite OBDE?