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Ilia_Sergeevich [38]
3 years ago
5

The measures of complementary angles have a sum of 90 degrees.Angle A and angle B are complimentary, and their measures have a d

ifference of 20 degrees.What are the measures of the angles?
Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:

The measure of the angles are 55° and 35°

Step-by-step explanation:

Sum of two angles that are complement of each other are 90.

The angles are A and B, so we can write:

A + B = 90

Also,

The difference is 20. Let A be the greater of them, so we can write equation 2 as:

A - B = 20

Now, we add up both equations, eliminate B and solve for A first:

A + B = 90

A - B = 20

---------------

2A = 90 + 20

2A = 110

A = 110/2

A = 55

And now the measure of B:

A + B = 90

55 + B = 90

B = 90 - 55

B = 35

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