Question

An angle measures 50° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Answer:

20° and 70°

Step-by-step explanation:

Complementary angles sum up to 90°.

The angle = x

Its complement = x + 50

x + x + 50 = 90

2x = 40

x° = 20°

20+50=70

Answer 2

Answer: 70°  and 20°

Step-by-step explanation:

Complementary angles add up to 90 degrees  and we now that one angles measure is 50 degrees less than the other. So we can represent it by the expression   x = y -50    where x  and y are the two angles. We don't the value of y so it will be just y .

Now we know that if we add them,they will equation 90 degrees so we can represent it by the equation,

y + y-50 = 90  Now solve for y

2y - 50 = 90  

      +50  +50

2y = 140

y = 70  

Now we know one angles is 70 degrees and the other is 50  less than it so the other angle will be   70 - 50 = 20