Answer:
a = 118
b = 62
c = 59
Step-by-step explanation:
a. The angle marked a° and the one marked 62° form a linear pair, so are supplementary.
a° = 180° -62° = 118°
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b. The angles marked 62° and b° are vertical angles, so both have the same measure.
b° = 62°
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c. The angles marked with a single arc are congruent. The arcs in the top triangle show that triangle to be isosceles. The sum of angles in that triangle is 180°:
2·c° +62° = 180°
c° +31° = 90° . . . . . divide by 2
c° = 59° . . . . . . . . subtract 31°
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Additional comment
The diagram has enough marks to show that the top and bottom triangles are congruent.
