mlsthil71 mlsthil71
  • 25-03-2020
  • Mathematics
contestada

An angle measures 52° less than the measure of its complementary angle. What is the measure of each angle?

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ANCKPOP
ANCKPOP ANCKPOP
  • 26-03-2020

Answer:

19° 'cause is 52° less than 71°

Step-by-step explanation:

When two angles add to 90°, we say they "Complement" each other, then

a = angle

b = complement

a + b = 90, by definition

a = b - 52

Substitute

(b - 52) + b = 90

b - 52 + b = 90

2b - 52 = 90

2b = 90 + 52

2b = 142

[tex]b = \frac{142}{2} \\b = 71[/tex]

Check

a = 71 - 52

a = 19

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