Question

In figure, if m, n and x:y=3:2, then z=
(a) 120°
(c) 108°
(b) 126
(d) 154°​

Answer 1

Answer:

the angle x° and z° are corresponding to each other

hence z°=108° and x°=108° and y°=72°

Step-by-step explanation:

z°=108° ans....

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Answer 2

Answer:

$\huge \pink{108^{ \circ}}$

Step-by-step explanation:

Note that x and z are alternative angles so

x = z

( if it's not clear then forget line m and draw l and m only )

Given

$x : y = 3 : 2 \\ \implies \: z : y = 3 : 2$

So if z = 3k then y = 2k , where k is some constant .

Now in two parallel lines sum of interior angles is 180° . So

$x+ y = 180 \\ \\ \implies \: z + y = 180 \\ \\ \implies \: 3k + 2k = 180 \\ \\ \implies k = \frac{180}{5} = 36 ^{ \circ} \\ \\ so \: \: z = 5k = 3\times 36 ^{ \circ} = 108 ^{ \circ}$