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What is the value of x? (SOMEONE PLEASE HELP ME OUT BRO PLEASEEEEE IGNORE THE 9 smh)

What is the value of x? (SOMEONE PLEASE HELP ME OUT BRO PLEASEEEEE IGNORE THE 9 smh-example-1

2 Answers

2 votes

Answer: x = 28

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Step-by-step explanation:

The quadrilateral shown is a kite since we have adjacent sides that are the same length (due to the similar tickmarks). The diagonals of any kite intersect to form a 90 degree angle.

The triangle in the lower left corner has the three angles of

  • 90
  • x+6
  • 2x

Those three interior angles must add to 180. This is true of any triangle.

90+(x+6)+(2x) = 180

3x+96 = 180

3x = 180-96

3x = 84

x = 84/3

x = 28

User Mismas
by
3.3k points
11 votes

Answer:

x=28

Step-by-step explanation:

Sum of all the angles in the triangle add up to equal 180

90 + x + 6 + 2x = 180

combine like terns

96 + 3x = 180

subtract 96 from each side

180-96=84

96-96 cancels out

3x=84

divide each side by 3

84/3=28

3/3 cancels out

x=28

The1AndOnlyMarkus

User Yuda Prawira
by
4.0k points