in a geometric diagram, angle A and angle B are complementary, and they form a straight line with angle C. if m-angle A = x° , m-angle B = (2x)° and m-angle C = 90° what is the measure of angle B?

Answer 1

Since angle A and angle B are complementary, we know that:

m(angle A) + m(angle B) = 90°

Given that m(angle A) = x° and m(angle B) = (2x)°, we can substitute these values into the equation:

x + 2x = 90
3x = 90
x = 30

Therefore, angle B has a measure of:

m(angle B) = 2x
m(angle B) = 2(30)
m(angle B) = 60°

So, the measure of angle B is 60°.