Question

How to solve this?.. The ratio of the angle measures in a quadrilateral is 1 : 4 : 5 : 6. Find the measure of the largest angle.

Answer 1

what do all the angles have to add up to?

Answer 2

I don't know, that's all my problem says.

Answer 3

I know quad means 4

Answer 4

the problem assumes you know some basic properties of a quadralateral .... such as the sum of the angles of a quad add up to _____

Answer 5

do you recall the measure of an angle in a square?

Answer 6

I think they add up to 360

Answer 7

correct :)

so lets scale this ratio by some value that will get us to some normal angles .... ill use the variable x

we know that 1x + 4x+ 5x+ 6x = 360

or simply: x(1+4+5+6) = 360

can you solve for x?

Answer 8

Yes, jus give me a min :)

Answer 9

Is it 22.5?

Answer 10

yes, and that will help us out to find the biggest angle :)

if you agree that 6x has to be the biggest angle, what is 6(22.5)?

Answer 11

Yes, then it would be -- 135

Answer 12

yay!! that would be correct

Answer 13

Yeahh!!!! thanks a hole lot :D

Answer 14

good luck ;)