Question

(No links please) What are the measures of Angles a, b, and c? Show your work and explain your answers.

Two straight lines intersect at a point to form angle a. The measure of the angle opposite to angle a is 35 degrees. Angle a is the angle of a right triangle having another angle equal to b. A triangle with one angle labeled c is on the left of the figure. The angle adjacent to c is labeled 70 degrees.

Answer 1

The correct answer is 55

Answer 2

Explanation:

Angle a would measure 35 degrees because opposite angles (vertical angles) are congruent. Angle b would be 55. Since all three angles in a triangle together equal 180 degrees. 180-90-35 = 55. Angle c is 110 degrees because it is supplementary to the adjacent angle of 70 degrees