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Learntionary

Answer:

x = 30°

Step-by-step explanation:

2x + 90 + x = 180

3x = 90

x = 30

Topic: Angles

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TheAnimeGirl

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{x = 30 \degree}}}}[/tex]

♨ Step - by - step explanation

☯ Given angles :

  • 2x° , 90° , x°

☯ To find :

  • Value of x

✎ Set up an equation and solve for x :

  • [tex] \sf{2x \degree \: + 90 \degree \: + \: x \degree = 180 \degree}[/tex]

Add the like terms. Remember that Only coefficients of like terms can be added or subtracted.

➺ [tex] \sf{3x \degree + 90 \degree = 180 \degree}[/tex]

Move 90° to right hand side and change it's sign

➺ [tex] \sf{3x \degree = 180 \degree - 90 \degree}[/tex]

Subtract 90° from 180°

➺ [tex] \sf{3x \degree = 90 \degree}[/tex]

Divide both sides by 3

➺ [tex] \sf{ \frac{3x \degree}{3} = \frac{90 \degree }{3} }[/tex]

➺ [tex] \boxed{ \sf{x = 30 \degree}}[/tex]

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❑ Rules for solving an equation

  • If an equation contains fractions , multiply each term by the LCM of denominators.
  • Remove the brackets, if any.
  • Collect the terms with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.
  • Simplify and get the single term on each side.
  • Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

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