Question

What is the sum of all the interior angles (marked in the figure) of polygon PQRSTUV​

Answer 1

Answer:

€‹pls answer Q 5 What is the sum of all the interior angles (marked in the figure) of polygon PQRSTUV? A 360 ° B 420 ° C 720 ° D 900 °

Answer 2

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The adjoining star contains a regular pentagon.

So, sum of interior angles = (5-2) x

180 = 540°

In regular polygon, each angle is of same

measure

Each interior angle measures 108°

It's supplementary angle measures 180 108° = 720

Now the triangles formed by the star are isosceles, so the othere angle at the base

measures 720

measure of an angle at the vertex will be

180° 72° - 72°= 36°

Each angle at the vertices of star has a

measure of 36°.

Thus, the sum of all the angle at five vertices of the star =5 x 36° = 180°

Hence, the answer is 180°.