Question

8. In the figure, the lines lcand m are parallel. Prove that x +y +z = 180º.​

Answer 1

Step-by-step explanation:

Due to the three angles are in triangle,the sum of all angles is 180°

Answer 2

Answer:

mark the angle on  the left of x as 1 and right of x as 2 then as the 2 opposite lines are parallel angle z+angle 2=90 and angle y+angle 1=90 as these are angles on the same side of transversal

then as rhs are equal lhs will be equal

2angle z+2 angle y=90+90(angle 2=angle z and angle y=angle 1 so just replace and it became 2 angle z and 2 angle y)

now take 2 common

2(angle z=angle y)=180

angle z+angle y=180/2=90

hence angle z+y=90

now according to angle sum property

angle x+y+x=180

90+x=180

angle x=90

HENCE PROVED.

(I WROTE AND DID ON MY OWN)

Step-by-step explanation:

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