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Using the diagram on the right, what would the measure of Angle c be if Angle a=55.

c=59

c=90

c=116

c=66

Using the diagram on the right, what would the measure of Angle c be if Angle a=55. c-example-1
User Dhruvik
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2 Answers

5 votes

The measure of angle c is 59 degrees

To determine the measure of the angle, we have to note that;

  • Supplementary angles are pairs that sum up to 180 degrees
  • Angles on a straight line is 180 degrees
  • Angle at right angle is 90 degrees
  • Alternating angles are equal

Then, from the information given, we have that;

Angle a = 55 degrees

Since angles on a straight line is 180 degrees, we can say that;

57 + d + 64 = 180

d = 180 - 121

subtract

d = 59 degrees

But c and d are alternating angles, then, c = 59 degrees

User Wds
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6.6k points
4 votes

Answer: c=59 degrees.

Explanation:

57 + d + 64 = 180

121 + d = 180

-121 -121

d = 59

Angle d is alternate interior to angle c so they are congruent.

User Pavelgj
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7.3k points