Question

Find the value of x.

The angle measures of 2 x degrees, 90 degrees, and x degrees sum to 180 degrees.

Answer 1

`\huge{ \boxed{ \bold{ \tt{x = 30 \degree}}}}`

♨ Step - by - step explanation

☯ Given angles :

• 2x° , 90° , x°

☯ To find :

• Value of x

✎ Set up an equation and solve for x :

• 
  `\sf{2x \degree \: + 90 \degree \: + \: x \degree = 180 \degree}`

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

➺
`\sf{3x \degree + 90 \degree = 180 \degree}`

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

➺
`\sf{3x \degree = 180 \degree - 90 \degree}`

Subtract 90° from 180°

➺
`\sf{3x \degree = 90 \degree}`

Divide both sides by 3

➺
`\sf{ (3x \degree)/(3) = (90 \degree )/(3) }`

➺
`\boxed{ \sf{x = 30 \degree}}`

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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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Answer 2

x = 30°

Explanation:

2x + 90 + x = 180

3x = 90

x = 30

Topic: Angles

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