Question

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 degrees

Answer 1

To find the measure of angles < A and < B, we need to use the fact that < A and < B are complementary, which means that their measures add up to 90 degrees.

Given that m < A = x and m < B = 2x, we can set up the equation:

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

Now, we can find the measures of angles < A and < B:

m < A = x = 30 degrees
m < B = 2x = 60 degrees

Therefore, < A measures 30 degrees and < B measures 60 degrees.