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Please help me this is hard

Please help me this is hard-example-1
User Reginal
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1 Answer

4 votes

Answer:

∠HIJ = 57

∠IJH = 57

∠JHI = 66

Explanation:

As a much better answer to the other guy:

You first have to find what the sum of the interior angles are. This can be found using the following expression:

( n - 2 ) × 180

Where 'n' is the number of sides of a polygon. Since this is a triangle:

n = 3

Therefore, the sum the interior angles of a triangle is 180°

Returning to the triangle, it's stated that the triangle is isosceles, meaning the ∠HIJ is the same as the ∠IJH (the middle point notating the position of the angle.) So then you have 3 angles with the following expressions:

∠HIJ = 5x + 2

∠IJH = 5x + 2

∠JHI = 3x + 33

Since all of the angles need to add up to 180°, we can smush them all into one big equation:

5x + 2 + 5x + 2 + 3x + 33 = 180

If you simplify everything:

13x + 37 = 180

Subtract 37:

13x = 143

Divide by 13:

x = 11

Now that you have x, plug it in to the equations above!

∠HIJ = 5(11) + 2

∠IJH = 5(11) + 2

∠JHI = 3(11) + 33

Simplify.

∠HIJ = 55 + 2

∠IJH = 55 + 2

∠JHI = 33 + 33

Again.

∠HIJ = 57

∠IJH = 57

∠JHI = 66

There you go!

User Janks
by
7.5k points

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