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

Answer 1

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.