Question

find the value of x and y in the following figure​

Answer 1

Answer:

from the figure

x = 70 (Opposite Intersecting angles are always equal)

● Formula :- $\mathsf\pink{Exterior \: angle \: = \: Sum \: of \: two \: interior \: angles}$

$140 = 70 + y \\ y = 140 - 70 \\ y = 70$

$\therefore x = 70° \: and \: y = 70°$

Answer 2

$\huge\mathcal{\fcolorbox{aqua}{red}{\fcolorbox{aqua}{orange}{ANSWER.....!!!}}}$

X° = 70° ....( vertically opposite angle )

PQR + 140° = 180°

PQR° = 180° - 140°

PQR° = 40°

Y° = 180° - ( X° + PQR° )

Y° = 180° - ( 70° + 40° )

Y° = 180° - 110°

Y° = 70°

$\huge\mathcal{\fcolorbox{aqua}{red}{\fcolorbox{aqua}{orange}{X° = 70°}}}$

$\huge\mathcal{\fcolorbox{aqua}{red}{\fcolorbox{aqua}{orange}{Y° = 70°}}}$