Question

What is the measure of angle J in the triangle below? Drawing is not to scale.

A. 97°
B. 83°
C. 35°
D. 7°

Answer 1

35 degrees

Explanation:

35 degrees

Answer 2

`C. 35\degree`

Explanation:

We can use the sine rule to find the value of J.

We use the sine rule to obtain;

`(\sin(J))/(10)=(\sin(102\degree))/(17)`

We multiply both sides by 10 to get;

`\sin(J)=(\sin(102\degree))/(17)*10`

`\sin(J)=0.57538`

Take the sine inverse of both sides to obtain;

`J=\sin^(-1)(0.57538)`

`J=35.13`

The measure of angle J is approximately
`35\degree`