Answer:
Angle 1=135°
Angle 2=27°
Step-by-step explanation:
Okay, we know Angle JKL is 162°.
Angle JKL contains both Angle 1 and Angle 2.
So, we are able to deduce that:
Angle 1 + Angle 2=162°
We also know that Angle 1 is 5 times bigger than Angle 2.
Another way you could say this is:
Angle 1=5x
Angle 2=x
We have to figure out what x is first.
So, combine what we already know into a workable equation.
5x+x=162°
Combine like terms
6x=162°
Divide both sides by 6
162/6=27°
x=27°
Since Angle 2 is equal to x, that means Angle 2 is 27°
Meanwhile, to get Angle 1:
5(27)=135°
Angle 1=135°
Angle 2=27°
And, to check our work:
135+27=162
