Question

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

Answer 1

∠A and ∠D are supplementary then

105

∘

+x=180

∘

⇒x=75

∘

Similarly, 115

∘

+y=180

∘

⇒y=65

∘

x+y=75+65=140

∘

Answer 2

Answer:

x = 75° & y = 65°

Step-by-step explanation:

We know that adjacent angles of any quadrilateral are supplementary.

So, ∠x = 180° - 105° = 75°

∠y = 180° - 115° = 65°