Plz, help 20 points: What are the measures of Angles a, b, and c? Show your work and explain your answers.

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°.

a = 35°

b = 55°

c = 110°

Step-by-step explanation:

a = 35

(Vertically opposite angles)

b = 180 - 90 - 35

b = 55

(Total angle in a triangle is 180)

c = 180 - 70

c = 110

(Supplementary angles)

b). 4320 have a nice day