89.4k views
5 votes
In diagram below, ab and bc are tangent to o. what is the measure of abc.

A. 46
B.67
C.42
D.92
help FAST please!!!!​

In diagram below, ab and bc are tangent to o. what is the measure of abc. A. 46 B-example-1

2 Answers

6 votes

Check the picture below.

In diagram below, ab and bc are tangent to o. what is the measure of abc. A. 46 B-example-1
User Praveenks
by
5.2k points
3 votes

Answer:

Option A. will be the answer.

Explanation:

It is given in the diagram attached, AB and BC are the tangents to circle O.

We have to find the measure of ∠ABC.

By the theorem,

Measure of ∠ABC which inscribed within the tangents will be
=(1)/(2)(arcADC-arcAC)


=(1)/(2)(226-134)


=(1)/(2)(92)

= 46°

Option A. will be the answer.

User Michy
by
4.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.