A is the largest number of right angles, and B is the smallest number of right angles that can result

| September 15, 2021 | education

A is the largest number of right angles, and B is the smallest number of right angles that can result from the intersection of two parallel secant lines. What is the arithmetic mean of A and B?

When two parallel secant lines intersect, eight corners are formed.

If the secant is perpendicular to one straight line, then it will be perpendicular to the second straight line, parallel to the first. Thus, when two parallel secant lines intersect, the largest number of right angles will be 8, then A = 8.

If the secant is not perpendicular to one straight line, then it will not be perpendicular to the second straight line parallel to the first. Thus, when two parallel secant lines intersect, the least number of right angles will be 0, then B = 0.

The arithmetic mean is equal to the sum of the numbers divided by their number:

(A + B) / 2 = (8 + 0) / 2 = 8/2 = 4.

Answer: 4.



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