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Given :-

  • A ∆ with angles (2x+1)° and (5x+5)° .
  • A angle is 90° .

To find :-

  • The value of x .

Solution :-

Using angle sum property of a ∆ ,

  • 2x + 1 + 5x + 5 + 90° = 180°
  • 7x + 96° = 180°
  • 7x = 180° - 96°
  • 7x = 84°
  • x = 84°/7
  • x = 12°

Answer:

x = 12

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the given angles and equate to 180

2x + 1 + 5x + 5 + 90 = 180 , collect like terms

7x  + 96 = 180 ( subtract 96 from both sides )

7x = 84 ( divide both sides by 7 )

x = 12

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