Question

If ∠B = 4x + 11 and ∠A = 2x + 33, find the value of x, so that ABCD is an isosceles trapezium.

Answer 1

Diagram :-

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Solution :-

By the given information ,

• Trapezium is a quadrilateral .

Finding x using property of quadrilateral ,

As we know that ,

• Sum of adjacent sides of a quadrilateral is equal to 180°

So , here

• ∠A & ∠D are adjacent sides

Now ,

⇒ ∠A + ∠D = 180°

⇒ 2x + 33° + 4x + 11° = 180°

⇒ 6x + 44° = 180°

⇒ 6x = 180° - 44°

⇒ 6x = 134°

⇒ x = 134°/6

⇒ x = 22.66°

Hence , x = 22.66°