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AnnZ [28]
3 years ago
10

Work out the size of angle A

Mathematics
1 answer:
TEA [102]3 years ago
6 0

Answer:

The measure of A is 93

Step-by-step explanation:

Here, we want to get the measure of angle A

we can start by getting the measure of angle C

Mathematically, we can use sine rule

It states that the ratio of the length of a side of a triangle and the sine of the angle it faces is constant

So to get C, we have the following;

9/sin 38 = 11/sin C

sin C = 11sin 38/9

sin C = 0.7525

C = sin^-1(0.7525)

C = 48.80

This is approximately 49

To get A,

we know that if we added the measure of interior angles of a triangle, the addition is 180 degrees

Thus, we have it that:

38 + 49 + A = 180

A = 180-38-49

A = 93

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