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 n<c=90 what is the measure of <b

Answer 1

Since <a and <b are complementary, their measures sum up to 90 degrees.

Given that m<a = x and m<b = 2x, we can write the equation:

x + 2x = 90

Combining like terms:

3x = 90

Dividing both sides by 3:

x = 30

Therefore, m<b = 2x = 2(30) = 60.

So, the measure of <b is 60 degrees.