Answer:
35°
Step-by-step explanation:
First you find the sine of x. That would be
sinx = opposite/hypotenuse
sinx = 57/100
sinx = 0.57
You can look it up if you want, but sin35 = 0.574
so the answer is 35°
Answer: The answer is option B.
Step-by-step explanation:
Missing angle = 100
Because Corresponding Angles<span> are equal on </span><span>Parallel Lines</span>
The equation will shift up two points
1.) Solve for length b.
The simpler method is to use the Pythagorean theorem. If
, then this means that
.
Plug in the values:

--> 
So this means that b is the square root of 72, which is 8.49
2.) Solve for ∠A.
Let's refer to the law of sines. If
, then this means we can cross multiply. Since A is the value we are solving for, the equation should be written out like this:

--> 
A is 39.52°
3.) Solve for ∠B.
This is the easiest one. The sum of all three angle measures in a triangle add up to 180°. We already know that one of the angles is a right angle and the other 39.52°.
39.52 + 90 = 129.52
180 - 129.52 = 50.48
∠B is 50.48°.