2 Answers

PlageMan · Answer 1 · 2020-12-13T11:06:46+0000

Answer:

The measure of an angle A=
$1^(\circ)$ .

Explanation:

We are given that an angle
$95^(\circ)$ and two sides are 7 in and 9 in in a given figure.

We have to find the value of measurement of angle A.

To find the measurement of angle A we apply sine law.

Sine law:
$(a)/(sin \alpha)=(b)/(sin\beta)=(c)/(sin \gamma)$

Where side a is opposite to angle
$\alpha$

Side b is opposite to angle
$\beta$

Side c is opposite to angle
$\gamma$

We are given an angle 95 degrees and opposite side of given angle is 9 in and the angle A is opposite to side 7 in.

Substituting the values then we get

$(9)/(sin 95^(\circ))=(7)/(sin A)$

(9)/(0.683)=(7)/(sin A)

sin A=(7* 0.683)/(9)

sin A=(4.781)/(9)=(4781)/(9000)

sin A=0.531

A= sin^(-1)(0.531)

$A=0.56^(\circ)$

$A= 1^(\circ)$

Hence, the measure of an angle A=
$1^(\circ)$ .

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