In a geomatic 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 measure of <B
answers:
180
90
60
30
In a geometric diagram, complementary angles add up to 90 degrees because they are two angles that, when added together, form a right angle.
In this case, angle <A and angle <B are complementary angles. We are given that angle <A has a measure of x, and angle <B has a measure of 2x.
Since complementary angles add up to 90 degrees, we can set up the equation:
x + 2x = 90
Combining like terms, we get:
3x = 90
Dividing both sides by 3, we find:
x = 30
Therefore, angle <B has a measure of 2x, or 2(30) = 60 degrees.
So, the answer is 60 degrees.