Question

The measure of ∠BCD is 120°. The measure of ∠ABC is 85°.

What is measure of ∠BAC?

Answer 1

Answer:35°

Explanation:

<BCD + <C = 180° (angle on a straight line )

120° + <C = 180°

<C = 180° - 120° = 60°

<BAC + <ABC + <C = 180° (sum of interior angles of a triangle)

<BAC + 85° + 60° = 180°

<BAC + 145° = 180°

subtract 145° from bothsides

< BAC = 180° - 145° = 35°

Answer 2

First of all, triangles angles add up to 180 degrees.

BCD=120. To find BCA subtract 180-120 to get 60 degrees.

We know what ABC is, it equals 85, so far we have 2 angles.

Lets add them up, 85+60=145

Since the angles must add up to equal 180 we're going to subtract 180-145

Which equals 35, BAC=35 degrees.

-Seth