Question

Which of the following points will form a negative obtuse angle in standard position?

A. (-3,-4)
B. (-3,4)
C. (3,4)
D. (3,-4)

Answer 1

Only option A is correct, i.e. A(-3, -4).

Explanation:

Given are the coordinates from each quadrant on cartesian plane.

We know the angles are negative clockwise.

The Obtuse angles are defined as those angles whose measure is always more than 90 degrees.

So, Negative obtuse angle in standard position would be in third quadrant.

Checking all given options, only point A(-3, -4) is in third quadrant which is more than 90° in negative direction with x-axis.

Hence, only option A is correct, i.e. A(-3, -4).