Question

Find the measure of the angle. (two more and i'm done, sorry)

Answer 1

Answer:

c=102°

b=(360-204)/2 = 78°

Answer 2

Answers:

b = 78

c = 102

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Explanation:

Let's find angle b. This angle adds to the 102 to get 180 since the two angles form a straight angle.

102+b = 180

b = 180-102

b = 78

Then we can apply the same idea to find angle c

b+c = 180

78+c = 180

c = 180-78

c = 102

A shortcut to find angle c is to recall that vertical angles are congruent. The proof of the vertical angle theorem is effectively the steps shown above.