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What is the value of x

What is the value of x-example-1
asked
User Rutix
by
8.1k points

2 Answers

5 votes

Answer:

the value of x is 17

Explanation:

7x-32+5x-27=9x-8{sum of 2 interior angles of a triangle is equal to the sum of exterior angle}

therefore x=17

answered
User Radioaktiv
by
7.7k points
3 votes

Answer:

x = 17°

Explanation:

Hello!

Angle KLM is an exterior angle of Triangle JKL. An exterior angle's measure is equal to the sum of the two remote interior angles.

The two remote interior angles are Angle K and Angle J. We can solve for x by setting up an equation: (7x - 32) + (5x - 27) = (9x - 8)

Solve for x

  • (7x - 32) + (5x - 27) = (9x - 8)
  • 7x - 32 + 5x - 27 = 9x - 8
  • 12x - 59 = 9x - 8
  • 12x - 51 = 9x
  • 12x = 9x + 51
  • 3x = 51
  • x = 17

The value of x is 17°.

answered
User Kevin Hussey
by
8.8k points

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