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Understanding Quadrilaterals

Question
CBSEENMA8001955
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Find x in the following figures.

Solution

Solution: (a) Sum of all the exterior angles of a polygon = 360°

∴ 125° + 125° + x = 360°

or 250° + x = 360°

or x = 360° - 250° =110°

(b) ∵ x + 90° + 60° + 90° + 70° = 360° or x + 310° = 360°

or  x = 360° - 310° = 50°

Some More Questions From Understanding Quadrilaterals Chapter

Find the angle measure x in the following figures.


Find x in the following figures.

Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides

How many sides does a regular polygon have if the measure of an exterior angle is 24°?

How many sides does a regular polygon have if each of its interior angles is 165°?

Question 5. (a) Is it possible to have a regular polygon with measure of each exterior angle is 22°?

 (b) Can it be an interior angle of a regular polygon? Why? 

(a) What is the minimum interior angle possible for a regular polygon? Why? (b) What is the maximum exterior angle possible for a regular polygon?

ake two identical set squares with angles 30°-60°-90° and place them adjacently to form a parallelogram as shown in Figure. Does this help you to verify the above property?

Take two identical 30°-60°-90° set-squares and form a parallelogram as before. Does the figure obtained help you to confirm the above property?

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