Answers

  • Brainly User
2016-02-12T07:42:15+08:00
Representation:
      x = the angle's complement
      x + 10 = the angle
      90° = sum of the measures of complementary angles

Equation:
     x + x + 10 = 90
     2x + 10 = 90
     2x = 90 - 10
     2x/2 = 80/2
     x = 40

The measure of each angle:
Angle: x + 10  ⇒  40 + 10 = 50°
Angle's complement: x = 40°

ANSWER:  The measure of the angles are 50° and 40°.

Check:
     50° + 40° = 90°
     90° = 90°

0
2016-02-13T07:53:43+08:00
The total measurement of complimentary angles is 90°. 
x = complement
x + 10 = the angle

x + x +10=90\\2x+10=90\\2x=90-10\\ \frac{2x}{2}= \frac{80}{2}  \\x=40

x = 40° - complement
x + 10 = 40 + 10 = 50° - angle
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