Question

the angle of a quadrilateral ABCD taken in an order in the ratio of 3:7:6:4 then ABCD is a
a)kite
b) parallelogram
c) square
d) rhombus​

Answer 1

Answer:

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Step-by-step explanation:

Given ratio of angles of quadrilateral ABCD is 3:7:6:4

Let the angles of quadrilateral ABCD be 3x,7x,6x,4x respectively.

We know that the sum of all amgles is 360°

∴x=18°

i.e, ∠A=3x=54° ∠C=6x=108°

∠B=7x=126° ∠D=4x=72°

⇒∠BCE=∠ADC=72°

Since the corresponding angles are equal,

BC∥AD

∴ Sum of interior angles

⇒∠A+∠B=126°+54°=180°

⇒∠C+∠D=108°+72°=180°

∴ ABCD is a trapezium.

Hence, the answer is trapezium.