Question

Find the measures of x,y and z in the figure, where / II BC​

Answer 1

Answer:

X =180-(75+45) as it's linear pairangles

X=60

line l is parallel to side BC

so as bal is alternate interior angle so angle b =75

from angle sum property 180-(60+75)=angle c or z

z=45

hence proved

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Answer 2

Answer:

75+X + 45=180

120+2x=180

2x=180-120

2x=60

X=30

y =75(alternate angles)

Now,

in triangle ABC

X+y+z=180(angle sum property)

30+75+z=180

105+z=180

z=180-105=75

so,

X=30

y=75

z=45

so,

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