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

Question

answers:

180

90

60

30

Answer 1

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.