Question

Angles of a quadrilateral are 140, 80, 60 and 80, what shape is it?

A - kite
B - parallelogram
C - rhombus
D - trapizium

Answer 1

The answer is a trapezium because the process of illumination can help a rhombus has two angles that are over 100 so no, a kite does not have an angle over 100, and nor does a parallelogram.

Answer 2

A - kite

Explanation:

We have been given that angles of a quadrilateral are 140, 80, 60 and 80. We are asked to determine the shape of quadrilateral from given angle measures.

A. Kite

We know that a kite has one pair of congruent opposite angles. Since we have measure of 2 angles as 80 degrees, therefore, our given quadrilateral is a kite.

B. Parallelogram

We know that opposite angles of parallelogram are equal. Since we have only one pair of equal angles, therefore, our given quadrilateral is not a parallelogram.

C. Rhombus

We know that rhombus is a parallelogram, therefore, it is not a correct choice.

D. Trapezium

We know that two consecutive angles of trapezium are supplementary. Since any of our given angles don't add up-to 180 degrees, therefore, our given quadrilateral is not a trapezium.