Question

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

What is measure of ∠BAC?

Enter your answer in the box.

Answer 1

35°

We know that BCD is 120° which means that BCA is 60°. (120+60= 180)

We also know that ABC is 85°

So 85° + 60° = 145°

We know a triangle = 180°, so we can subtract the sum of the two prior angles to give us the missing angle BAC

180 - 145 = 35°

Answer 2

35

Explanation:

since ACD is a line so angle BCA+angle BCD=180

BCA+120=180

BCA=60

The total degrees of all interior angles of triangle is 180

So angle BAC+BCA+ABC=180,

BAC+60+85=180

BAC=35