Answer:
Therefore the correct option is 2. 35 degree.
Step-by-step explanation:
Consider an Isosceles Triangle, Δ ABC where,
∠BAC = 110°
TO Find:
∠ ABC = ∠ACB = ?
Solution:
For an Isosceles Triangle
Base Angles are equal
∴
Now,
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
Therefore,
Remark
This will be a little late, but I'll answer it anyway. The more you see of the sine law, the clearer it will be.
Step One
Set up the sine Law.
Step Two
Substitute values
Sin(x) = ??
sin(75) = 0.9659
Step Three
Cross multiply and Solve
22* Sin(x) = 12 * 0.9659
22* Sin(x) = 11.591 divide by 22
sin(x) = 11.591 / 22
sin(x) = 0.5269
Step Four
You have to know how to use the inverse of an angle to get the answer. I do it as my calculator would do it. If it doesn't work with yours, let me know.
x = sin^-1(0.5269)
2nd F
Sin^-1
(
0.5269
)
=
You should get 31.79 degrees.