Question

$what \: will \: the \: value \: of \: x \: y \: and \: z$
​

Answer 1

$\boxed{\textbf{\large{Explanation :}}}$

in the given figure,

let us consider,

/_M = 40° and /_L = 60°

/_Z = /_M

.....(vertically opposite angles)

Z = 40°

_______________________

/_X = /_L

.....( vertically opposite angles)

X = 60°

________________________

/_X +/_Y + /_Z = 180°

...........(linear pair)

60° + /_Y + 40° = 180°

100° +/_Y = 180°

/_ Y = 180° - 100°

Y = 80°

_________________________

[linear pair ]

→ linear pair is a angles formed on straight line is always supplementary .

[vertically opposite angles ]

→the opposite angles formed by intersection of two lines are always congruent .