Question

the sides of a pentagon are produced in order,if the measure of exterior angles so obtained are x, 2x,3x,4x,5x find all the exterior angles​

Answer 1

Answer:

.sum of angles =2n-4 right angles where n is the no of sides ie 5

So 2*5-4=10-4=6 rt angles

=6*90=540°

now X+2x+3x+4x+5x+3+10+5

=540

So 15x+15+3=540

so 15(X+1)=540-3

=537

so X+1=537/15=35.8°

so X=34.8° FIRST ANSWER

Now each ext angle is

(180-int angle)

by substituting value of X in international angles we can find ext angles:

145.2

110.4

65.6

35.8

and

6°

Answer 2

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