Question

What is the measurement of angle A to the nearest degree? a0degree

Answer 1

The measure of angle A is 51 degrees

Answer 2

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)`.