Answer:
a = 35°, b = 55°, and c = 110°
Step-by-step explanation:
Notice that angle a is a vertical angle with the angle marked 35 degrees. Vertical angles are those that are formed at the intersection of two lines. By definition, they are equivalent, so a = 35 degrees.
Angles a and b are part of a 90 degree, right triangle. Since all the angles of a triangle add up to 180, we can write: a + b + 90 = 180. Substitute 35 for a and solve for b:
35 + b + 90 = 180
b + 125 = 180
b = 55 degrees
Notice that angle c is on the same line as the angle marked 70 degrees. This means that these two angles are supplementary; in other words, they add up to 180. So: c + 70 = 180. Then, c = 110.
Thus, a = 35°, b = 55°, and c = 110°.
