Question

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

Answer 1

Answer:

55⁰ + y = 180⁰...... linear pair

y = 180 - 55

y = 125⁰

x + y = 180⁰....... Linear pair

x + 125 = 180⁰

x = 180 - 125

x = 55⁰

or

x = 55⁰ ( vertically opposite angle)

x + y = 180⁰

y = 180 - 55

y = 125⁰

Answer 2

Answer:

$x = 55(vertically \: opposite \: angles) \\ x + y = 180(linear \:pair \: axiom) \\ 55 + y = 180 \\ y = 180 - 55 \\ y = 125 \\ \\ x = 55 \\ y = 125$