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
