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3 years ago

In the figure below, if angle T measures 130 degrees, what is the measure of angle Q?

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

8 0

Answer:

m<Q = 65°

Step-by-step explanation:

It is given that <T = 130°

To find the <Q

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°

krek1111 [17]3 years ago

5 0

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 half the angle at the centre (T)

Since T = 130 degrees;

Q = 130 divided by 2

= 65°

___________________________________

Answer:

∠Q = 65°

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