Question

the sides of pentagon are produced in order and the exterior angles so obtained are of measure of x degree,(2x) degree,(3x+10)degree ,(4x+5)degree and (5x)degree respectivly find the value of x and the measure of each exterior angle of a pentagon

Answer 1

Answer:

x+2x+3x+10+4x+5+5x=540° because for a Pentagon...

Step-by-step explanation:

...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

Answer 2

Answer:

Step-by-step explanation:

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