Question

Given AB and AC are lines that are tangent to the circle with

the measure of angle BAC = 40°, what is the measure of angle BDC?

Answer 1

C

Explanation:

Givens

You are given 2 tangent lines.

You are also given a 4 sided figure.

All 4 sided figures have 360 degrees

A radius meets a tangent at 90 degrees

Formula

<BDA + <DCA + <BCA + <BDC = 360

Solution

90 + 90 +40 + <BDC = 360 Combine

220 + <BDC = 360 Subtract 220 from both sides

220- 220 +BDC =360 - 220

<BDC = 140

Answer: C