Question

In quadrilateral PQRS , angle R =60. find the ratio angle R: and angleS

Answer 1

Answer:

Step-by-step explanation:

It is give that PQRS is a quadrilateral.

First prove that PQRS is a parallelogram.

Second ; angle R + angle Q = 180° ( Adjacent angles )

60° + angle Q = 180°

angle Q = 180° - 60°

angle Q = 120°

Thus, the ratio between Angle R and Angle Q is 60: 120 or 1: 2

Hope it helps u.

Answer 2

Thank you for asking this question. Here is your answer

We will assume the ratio of angle R to Q  1 : 2

We know this from the question that PQRS is a quadrilateral:

So keeping that in mind we will solve the question:

<R=60

Now we will find <Q

<Q and <R are supplementary (reason: <Q is an adjacent angle of <R)

So, <Q + <R is equal to 180

<Q = 180 - <R

= 180 - 60

= 120

Now we will find the ratio of angle R in terms of Q

<R : <Q = 60 : 120

= 1: 2

So the final answer for this question is 1:2

If there is any confusion please leave a comment below.