Question

in the given figure l parallel m find the value of x, y and z​

Answer 1

Answer:

X=50° (alternate interior angle)

Z=45° ( alternate interior angle)

X+Y+Z=180° (straight line)

50+45+z=180°

95+z=180

Z = 180-95

Z=85°

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Answer 2

Answer:

x=50, y=85 and z=45

Step-by-step explanation:

As we know, line l || m,

x=50 (Alternate Opposite Angles are Equal)

z=45 (Alternate Oppostite Angles are Equal)

y can be found in two ways

1st Way

x+y+z=180 (Linear Pair Axiom)

50+y+45=180

y= 85

2nd Way

In ΔPQR.

50+45+y=180 (Internal Angles sum equals to 180)

y=85