Question

IN a quadrilateral PQRS the angle P,Q,R,SO are the ratio 1:4:2:5 find the measure of each angle in the quadrilateral

Answer 1

Answer:

Step-by-step explanation:

first, we need to make a rough drawing of the quadrilateral. (refer given attachment)

then, once we have a clearer understanding of how we need to find out the angles, we use the angle sum property of quadrilaterals: the sum of all angles of a quadrilateral is 360 degrees.

we multiply the numbers from the ratio with an unknown number 'n'

so, we add all of them and they will add up to 360.

then, using that, we find the value of n and multiply it with the numbers in the ratio to get the measure of each angle.

so, we can solve it like this:

1n + 4n + 2n + 5n = 360

12n = 360

n = 30

1n = 30 --> P

4n = 120 --> Q

2n = 60 --> R

5n = 150 --> S