Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Given:circle O, with tangent segments AC and AB . What is the measure of angle A

Givencircle O With Tangent Segments AC And AB What Is The Measure Of Angle A class=

Sagot :

tanweeleong195oxyqwp

Answer:

B 84

Step-by-step explanation:

Angle COB = 96 (Angle CDB x2)

Lets split Quadrileteral ABOC into 2 equal parts.

Angle ABO = 90 (tangent segment of circle)

Angle AOB = 96/2 = 48

Angle OAB = 180 - 90 - 48 = 42

Angle A = Angle OAB x 2 = 42 x 2 = 84

Therefore Answer is B.

onyebuchinnaji

The measure of angle A in the given cyclic quadrilateral is determined as 84⁰.

Measure of angle A

The measure of angle A is determined from the following steps;

Determine angle COB

∠COB = 96 (angle at center is twice angle at the circumference)

Consider the following triangles;

Δ AOB + Δ AOC = COB

Determine angle AOB

∠ABO = 90 (tangent segment of circle)

∠ AOB = 96/2 = 48

Determine angle OAB

∠OAB = 180 - 90 - 48 = 42

Since, angle OAB is half of angle A in the quadrilateral OCAB

Angle A = ∠OAB x 2 = 42 x 2 = 84⁰

Thus, the measure of angle A in the given cyclic quadrilateral is determined as 84⁰.

Learn more about cyclic quadrilateral here: https://brainly.com/question/10057464

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.