Question

a pentagon has exterior angle measure of 5a, 4a, 10a, 3a, and 8a, find the value of a

Answer 1

SOLUTION

GIVEN

A pentagon has exterior angle measure of 5a, 4a, 10a, 3a, and 8a

TO DETERMINE

The value of a

CONCEPT TO BE IMPLEMENTED

The sum of all the exterior angles in a polygon is equal to 360°

EVALUATION

Here it is given that a pentagon has exterior angle measure of 5a, 4a, 10a, 3a, and 8a

We know that the sum of all the exterior angles in a polygon is equal to 360°

So by the given condition

5a + 4a + 10a + 3a + 8a = 360°

$\implies \sf{30a = {360}^{ \circ} }$

$\implies \sf{a = {12}^{ \circ} }$

FINAL ANSWER

Hence the required value of a = 12°

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