quadilateral PQRS, angle R =60then find the ratio of angleR:angle Q
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It is give that PQRS is a quadrilateral.
First ; you have to prove 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 this help you.
First ; you have to prove 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 this help you.
sema2134:
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Answered by
5
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.
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