Question

What are the measures of Angles a, b, and c? Show your work and explain your answers. (10 points)

Two straight lines intersect at a point to form angle a. The measure of the angle opposite to angle a is 40 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 fi

Answer 1

The measure of angle a is 35 degrees, b is 55 degrees and c is 110 degrees.

∡a has an angle of 40°. Vertical angles are always congruent.

∡b is the 3rd angle in a triangle, the other two are 40° and 90° all of the interior angles in a triangle add up to 180°.

∡c is a linear angle, linear angles always add up to 180°.