Question

measure of the angle of a quadrilateral are in the ratio 1:2:3:4find the measure of each angle.what type of quadrilateral is it?​

Answer 1

Answer:

$let \: the \: angle \: of \: quadrilateral \: be = x \\ = x + 2x + 3x + 4x = 360 \\ = 10x = 360 \\ = x = \frac{360}{10} \\ = x = 36 \\ = 36 \\ 36 \times 2 = 72 \\ 36 \times 3 = 108 \\ = 36 \times 4 = 144$

Answer 2

Answer:

Let the angles be = x, 2x, 3x, 4x

Since sum of all angles of a quadrilateral is 360°:

x + 2x + 3x + 4x = 360

=> 10x = 360

$\tt{\boxed{=> x = 36}}$

Angles:

x = 36

2x = 72

3x = 108

4x = 144

$\underline{\underline{\sf{Determining \:the\:type \:of\:quadrilateral :}}}$

Sum of alternate angles = 36 + 144 = 180°

72 + 108 = 180°

Thus, the sides are unequal and parallel.

Therefore it is a trapezium.

Hope it Helps!!