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Sagot :

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Answer:

X:6.7

Y:17

Z:33

Step-by-step explanation:

Because their similar to each other, the corresponding angles are equal.

5y-3=82

5y=85

y=17

Angle J=angle M=z=180-82-65=33

3x-2=18.1

3x=20.1

x=6.7

Answer:

x = 6.7

y = 17

z = 33°

Step-by-step explanation:

To find x:

Because IJK≅LMN, you know that 3x-2 = 18.1

3x-2 = 18.1

Add 2 to both sides:

3x-2+2 = 18.1+2

3x = 20.1

Divide both sides by 3:

3x/3 = 20.1/3

x = 6.7

To find y:

5y-3 = 82

Add 3 to both sides:

5y-3+3 = 82+3

5y = 85

Divide both sides by 5:

5y/5 = 85/5

y = 17

To find z:

Because all triangles angles must add up to 180, find 180-82-65:

180-82-65 = 33 degrees

Because IJK≅LMN, z = 33 degrees

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