Question

what is the angle of trapezium if ratio is :6 :9 :17 :32.​

Answer 1

Answer:

15 degree 45 degree 85 degree 160 degree

Answer 2

Given,

the angle of trapezium if ratio is $6:9:17:32$

Let $x$ be the angle of trapezium

So,

$6x:9x:17x:32x$ is the angles ratio of trapezium

The complete angle of trapezium is $360^{0}$.

So,

$6x+9x+17x+32x=360$

$64x=360$

$x=\frac{360}{64}$

$x= 5.625$

Substitute $x= 5.625$ in the place of $x$

$6x=6\times5.625\\6x=33.75$

$9x=9\times5.625\\9x=50.625$

$17x=17\times5.625\\17x=95.625$

$32x=32\times5.625\\32x=180$

Therefore, the angles of trapezium is $33.75,50.625,95.625$ and $180$.