In a geometric diagram, a and B are complementary and they form a straight line with CFMA equals XMB equals 2X and MC equals 90 what is the measure of B?

Answer 1

In a geometric diagram, if angles A and B are complementary, it means that they add up to 90 degrees.

Given that CFMA = XMB = 2X, we know that these three angles are equal. Let's represent their measure as "y".

So, CFMA = XMB = 2X = y.

We also know that MC = 90 degrees.

Since CFMA and MC are consecutive interior angles formed by the transversal CF crossing parallel lines AM and XB, they are supplementary. This means that their measures add up to 180 degrees.

Therefore, CFMA + MC = 180.
Substituting the values, y + 90 = 180.

Solving for "y", we find:
y = 180 - 90
y = 90.

Since B is complementary to A, it means that B = 90 degrees.