Question

Find the values of the variables.

Answer 1

Answer:

A. 118°

B. 62°

C. 59°

Step-by-step explanation:

Hooe this helps!:) If you want me to explain just ask in the comments

Answer 2

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.