Which of the following can never be the measure of exterior angle of a regular polygon?
(a) 22°
(b) 36°
(c) 45°
(d) 30°
Solution:
We have to find the angle that can never be the measure of the exterior angle of a regular polygon.
We know that the sum of measures of exterior angles of a polygon is equal to 360 degrees.
We know, exterior angle = 360°/n,
Where, n is the number of sides of a polygon.
From the above formula, we observe that the measure of each exterior angle will always divide 360° completely.
Now, 360°/22° = 16.36
22 does not divide 360° completely.
Therefore, 22° can never be the measure of exterior angle.
✦ Try This: Which of the following can never be the measure of exterior angle of a regular polygon? (a) 35°, (b) 36°, (c) 45°, (d) 30°
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 40
Which of the following can never be the measure of exterior angle of a regular polygon? (a) 22° (b) 36° (c) 45° (d) 30°
Summary:
22° can never be the measure of the exterior angle of a regular polygon.
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