Question

10. The value of y in the given figure is
(a) 89°
(b) 91°
(c) 101°
(d) 79°​

Answer 1

Step-by-step explanation:

75° + 63° + x = 180° ( ANGLE SUM PROPERTY)

so ,

x = 42°

the opposite angle of x is also 42° because they are vertically opposite angle

now this figure is a quadrilateral so angle sum property of quadrilateral is 360°

that means ,

130° + 97° + y + 42° = 360°

y = 91°

JAI SHREE RAAM

Answer 2

Answer:

$y = 91$

Step-by-step explanation:

$\to \: find \: the \: value \: of \: y \: we \: have \: to \: \\ find \: the \: value \: of \: y \\ \\ x = 180 - (63 + 75) \\ x = 180 - 138 \\ x = 42 \\ \\ therefore \: \: y = 360 - (130 + 42 + 97 \\ (obviously \: x = 42 \: vertically \: \\ opposite \: angles) \\ y = 360 - 269 \\ y = 91$

therefore , the value of y is 91°

Hope it is helpful for you!!