Question

In the figure below, m ZWXZ = 85°, and m Z 2 is four times mZ1. Find m2 1. Y m 1 . Z

Answer 1

weAs we can see, from the figure, the angle
`m<\text{WXZ}=m<1+m<2`As we know, m
`m<1+m<2=85\~`And, we know that the angle <2 is 4 times <1, then:

`m<2=4* m<1`

we can replace m<2 into m<2+m<1=85°, and we get:

`\begin{gathered} m<2+m<1=85\~ \\ 4m<1+m<1=85 \\ 5m<1=85 \end{gathered}`

And dividing both sides by 5, we get:

Then, the m<1 equals 17°

Since we know that m<2=4*m<1, then:

m<1 equals 17° and m<2 equals 68°