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Guys please help this is a math question

Guys please help this is a math question-example-1
User Kristkun
by
8.3k points

1 Answer

10 votes

Answer:

81.5

Explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4
y^(2) = 6
y^(2) - 40

add 40 to both sides and subtract 4
y^(2) from both sides: 40 = 2
y^(2)

you get: 20 =
y^(2)

root square on both sides:
√(20) =
\sqrt{y^(2) }

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6
y^(2) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

User Mladen Rakonjac
by
7.4k points

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