In the figure below, if angle T measures 130 degrees, what is the measure of angle Q?
2 answers:
Answer:
m<Q = 65°
Step-by-step explanation:
It is given that <T = 130°
<u>To find the <Q</u>
From the figure we can see that <T is the central angle made by the arc RS
And <Q is the angle made by the arc RS on minor arc.
We know that m<Q = (1/2)m<T
We have m<T = 130°
Therefore m<Q = 130/2 = 65°
Circle theorem:
The angle at the centre (T) is double the angle at the circumference (Q)
---> That also means that:
The angle at the circumference (Q) is <u>half</u> the angle at the centre (T)
Since T = 130 degrees;
Q = 130 divided by 2
= 65°
___________________________________
Answer:
∠Q = 65°
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