What is the value of x?
2 answers:
Answer:
A. .
Step-by-step explanation:
We have been given an image of two angles. We are asked to find the value of x.
Upon looking at our given image we can see that the measure of one angle is 110 degrees and measure of second angle is x.
We can also see that both angle add up-to 176 degrees, so we can set an equation as:
Let us solve for x.
Therefore, measure of x is 66 degrees and option A is the correct choice.
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Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
