Question

In quadrilateral PQRS,angle R=60 Find the ratio angle R : angle Q

Answer 1

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HERE IS UR ANS...

Since , adjacent angles of. a quadrilateral are supplementary.
Therefore. ,angle Q + angle R. = 180°
angle Q + 60° = 180°
angle Q = 180° - 60°
angle Q = 120°

ratio angle R : angle Q = 60°/120°
= 1:2

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

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