yequalsmxplusb52 yequalsmxplusb52
  • 10-09-2022
  • Mathematics
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The measure of one angle is 3 degrees more than 1/2 the measure of its supplement. Identify and solve an algebraic equation.

The measure of one angle is 3 degrees more than 12 the measure of its supplement Identify and solve an algebraic equation class=

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jaisurajk jaisurajk
  • 10-09-2022

Answer: x+(x/2 + 3)=180 ==> 1st option

62 degrees ==> smaller angle

118 degrees ==> Larger angle

Step-by-step explanation:

x=one angle

y=1/2 x + 3

x+y=180 ==> supplementary angles add up to 180 degrees.

x+(1/2 x + 3)=180

x+(x/2 + 3)=180 ==> 1st option

x+x/2 + 3=180

2x/2 + x/2 + 3=180

(2x+x)/2 + 3=180

3x/2 + 3=180

3x/2=177

3x=354

x=118 degrees ==> Larger angle

x/2 + 3=

118/2 + 3=

59+3=62 degrees ==> smaller angle

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