Question

In quadrilateral PQRS,angle R=60 find the ratio of angle R is to Q

Answer 1

Answer:

The ratio of angle R is to Q  is 1 : 2

Step-by-step explanation:

It is given that, PQRS is a quadrilateral,

Adjacent angles of a quadrilateral are supplementary

Here <R=60

To find <Q

<Q is an adjacent angle of <R. So <Q and <R are supplementary.

<Q + <R = 180

<Q = 180 - <R = 180 - 60 = 120

To find the ratio of angle R is to Q

<R : <Q = 60 : 120 = 1: 2

Therefore, The ratio of angle R is to Q  is 1 : 2

Answer 2

Answer:

1 : 2

Step-by-step explanation:

Given PQRS is  a quadrilateral. The property of adjacent angles of a quadrilateral is they are supplementary. Q is adjacent to R and hence both are supplementary angles. Supplementary angles are those, where two angles add up to 180 degree.

Now in the given quadrilateral

Q + R = 180

Q + 60 = 180  Given R = 60

Q = 180 - 60

Q = 120 degree

Now let us find the ratio for R and Q

So R : Q = 60 : 120

So 60 / 120 = 1 / 2 = 1 : 2

Ratio of angle R : Q is 1 : 2