Question

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

Answer 1

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

Answer 2

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.