In a geometric diagram, <A and <B are complementary, and they form a straight line with <C. If m<A=x, m<B=(2x), and m<C=99, what is the measure of <B?
Since <A and <B are complementary, their measures add up to 90 degrees (since they form a straight line with <C, which is 180 degrees). Therefore, we have the equation: x + 2x = 90. Simplifying this equation, we get: 3x = 90. Dividing both sides by 3, we find x = 30.
Since we know that x = 30, we can substitute this value into the expression for m<B to find its measure: m<B = 2x = 2(30) = 60.
Therefore, the measure of <B is 60 degrees.