Question

In quadrilateral PQRS, and angle 60° find ratio angle R : angle Q

Answer 1

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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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