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=90 what is the measuof B
Since A and B are complementary, their sum is equal to 90 degrees. So, we have the equation:
m A + m B + m C = 90
Substituting the given values:
x + 2x + 90 = 90
Combining like terms:
3x = 0
Dividing both sides by 3:
x = 0
Since x = 0, this means that m A = 0 degrees. Since m A + m B = 90 degrees and m A = 0, then:
0 + m B = 90
Therefore, the measure of B is 90 degrees.