jsbdbdkdkkd8330 jsbdbdkdkkd8330
  • 29-08-2019
  • Mathematics
contestada

The measure of the supplement of an angle is 40 more than two times the measure of the complement of an angle. Find the measure of the angle.

Respuesta :

windyyork windyyork
  • 04-09-2019

Answer: The measure of an angle would be 40°.

Step-by-step explanation:

Let the angle be 'x'.

complement means the sum of two angles is 90°.

So, Complement of x = 90-x

Supplement means the sum of two angles is 180°.

So, Supplement of x = 180-x

According to question,

[tex]180-x=2(90-x)+40\\\\180-x=180-2x+40\\\\-x+2x=40\\\\x=40[/tex]

Hence, the measure of an angle would be 40°.

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