Question

Refer to - KLMN

2x
M
101
-3
2y
P
y + 3 cm
60°
К.
N
x + 4 cm
mZ1 + m22 =

Answer 1

`m∠1 + m∠2 = 180`

Explanation:

`m∠1 = m∠3 \\ m∠2 = m∠4`

`m∠ 1 = m∠3 \\ 60 = 60`

`360 - m∠1 + m∠3 = m∠2 + m∠4`

`360 - 60 + 60 = m∠2 + m∠4`

`360 - 2(60) = m∠2 + m∠4`

`360 - 120 = m∠2 + m∠4`

`240 = m∠2 + m∠4`

`(240)/(2) = m∠2 = m∠4`

`120 = m∠2 = m∠4`

`m∠2 = 120 \\ m∠4 = 120`

`m∠1 = 60 \\ m∠3 = 60`

`m∠2 = 120 \\ m∠4 = 120`

`m∠1 + m∠2 + m∠3 + m∠4 { = }^(?) 360`

`60 + 120 + 60 + 120 { = }^(?) 360`

`2(60) + 2(120) { = }^(?) 360`

`120 + 240 { = }^(?) 360`

`360 = 360`

`m∠1 + m∠2`

`60 + 120 = 180`

`m∠1 + m∠2 = 180`