find m<b if this is a triangle and A is 90 degrees c is (5x+5) and B is (2x+1)
A. 12 degrees
B. 25 degrees
C. 32 degrees
D. 35 degrees
To find m<B, we can use the fact that the sum of the angles in a triangle is 180 degrees. We know that angle A is 90 degrees, so the sum of angles A and B is 90 + m<B degrees. The sum of angles A, B, and C is also 180 degrees, so we can create the equation:
90 + m<B + (2x + 1) + (5x + 5) = 180
Simplifying this equation gives:
3x + m<B + 96 = 180
Subtracting 96 from both sides of the equation gives:
3x + m<B = 84
Since the sum of angles in a triangle is 180 degrees, we can write the equation:
90 + m<B + (2x + 1) + (5x + 5) = 180
Simplifying this equation gives:
3x + m<B + 96 = 180
Subtracting 96 from both sides of the equation gives:
3x + m<B = 84
We can solve for m<B by subtracting 3x from both sides of the equation:
m<B = 84 - 3x
Since we only need to find the value of m<B and not the value of x, we can't determine the value of m<B with the given information. Therefore, none of the provided answer choices (A, B, C, D) are correct.