Answer:
A. 280°
Explanation:
Look at angles 1 and 2. Together, they form a straight angle. The measure of a straight angle is 180°.
We are told that the measure of <2 is 40°.
Since angles 1 and 2 together measure 180°, then the measure of <1 must be 140° since 180° - 40° = 140°.
Now we have m<1 = 140°.
Angles 1 and 6 are vertical angles. Vertical angles are congruent.
Therefore, m<6 = 140°.
We have m<1 = 140° and m<6 = 140°.
m<1 + m<6 = 140° + 140° = 280°
Answer: A. 280°