The angles between North and West and South and East are
a. Complementary angles
b. Supplementary angles
c. Both are acute
d. Both are obtuse

Solution:

Given, the figure represents four directions.

We have to find the angles between North and West and South and East.

From the figure,

We observe that the angle between North and West is 90 degrees

Similarly, the angle between South and East is 90 degrees

Required angle = angle between North and West and South and East

= angle between South and East + angle between North and West

= 90° + 90°

= 180°

When the sum of the measures of two angles is 180°, the angles are called supplementary angles.

Each of them is called a supplement of the other.

Since the sum of angles is 180 degrees

Therefore, the required angle is supplementary angle.

✦ Try This: Find the angle between North and East

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 1

The angles between North and West and South and East are: a. Complementary angles, b. Supplementary angles, c. Both are acute, d. Both are obtuse

Summary:

The angles between North and West and South and East are supplementary angles

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