Question

in figure ABCD is a Trapezium in which AB||DC . <A=105° and <B=115°Find the value of x and y​

Answer 1

Answer:

ab and cd are parallel line and ad be its transversal

angle a + angle d = 180⁰ ( interior angle test )

105⁰ + x = 180⁰

x = 180⁰ - 105⁰

x = 75⁰

similarly ab ll cd and BC be its transversal

angle b + angle c = 180⁰ ( interior angle test )

115⁰ + y = 180⁰

y = 180⁰ - 115⁰

y = 65⁰