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
x = 6.7
y = 17
z = 33°
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
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
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
Simplify:
So you get:
Answer: 11
Add the numbers together to get 68, then divide it by 6 to get your answer! Sorry if I'm wrong!
