Question

the angles a,b,c and d of a quadrilateral abc int the ratio 1:3:7:9
1)Find the measure of each angle
2)is ABCD a tripezium?why?
3)is ABCD a parallelogram
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Answer 1

Answer:

Angle sum property of a quad. is 360°

let the angles be 1x, 3x, 7x and 9x

1x + 3x + 7x + 9x = 360°

20x = 360°

x = 360/20

.°. x = 18°

1) the measures of the angles are below :

1(18) = 18° ☑

3(18) = 54° ☑

7(18) = 126° ☑

9(18) = 162° ☑

2) Yes, ABCD is a trapezium since there are no 90° angles . ☑

3) No, it isn't a parallelogram because adjacent angles do not form 180° . ☑