m<1+m<3=180
m<2+m<3=180
m<1+m<3+m<2+m<3
m<3=m<3
m<1=m<2
<1=<2
To find the value of <1 in terms of <2, we can use the given equations:
m<1 + m<3 = 180 ...(1)
m<2 + m<3 = 180 ...(2)
By combining equations (1) and (2), we can eliminate m<3:
(m<1 + m<3) + (m<2 + m<3) = 180 + 180
m<1 + m<2 + 2m<3 = 360
Simplifying the equation further:
(m<1 + m<2) + (2m<3) = 360
m<1 + m<2 = 360 - 2m<3
m<1 + m<2 = 360 - 2(180)
m<1 + m<2 = 360 - 360
m<1 + m<2 = 0
Since the sum of <1 and <2 is equal to zero, it means that the two angles, <1 and <2, are equal.
Therefore, we can conclude that <1 = <2.