Answered

2. The measure of one angle is 45° less than the measure of its supplement. Fi​

Sagot :

AGBOIIGO

SOLUTION

Let x be the angles

  • First angle = x
  • Second angle = x-45

Supplementary angles

  • [tex]\theta1[/tex]+ [tex]\theta2[/tex] = 180°

Creating an equation based from the question we get:

  • x + x-45 = 180
  • 2x - 45 = 180
  • 2x = 180 + 45
  • 2x = 225
  • x = 112.5

Substituting the values to the expressions:

First angle

  • x = 112.5

Second angle

  • 112.5 -45 = 67.5

ANSWER

  • The angles are 112.5° and 67.5°

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