Question

What is the measure of ∠J to the nearest degree?


45
55
70
83

Answer 1

I believe the answer would be 45 degrees.

Answer 2

(A)45

Explanation:

It is given that JGH is a triangle and JH=7 and GH=5.

Now, From ΔJGH, using the sine law, we get

`(sinJ)/(GH)=(sinG)/(JH)`

Substituting the given values, we get

`(sinJ)/(5)=(sinG)/(7)`

`sinJ=(5*(sin80))/(7)`

`sinJ=(5*(0.984))/(7)`

`sinJ=(4.924)/(7)`

`sinJ=0.703`

`J=sin^(-1)(0.703)`

`J=44.66`

`J`≈
`45`

Thus, the measure of the angle J is 45.

Hence, option (A) is correct.