Ask Question
20 October, 04:04

The measure of an exterior angle of a regular polygon is 2x, and the measure of an interior angle is 4x. Using the relationship between interior and exterior angles, find the value of x.

+4
Answers (1)
  1. 20 October, 04:19
    0
    The value of x is 30

    Solution:

    Given that measure of exterior angle of regular polygon is 2x

    The measure of interior angle is 4x

    To find: value of x

    The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

    measure of exterior angle + measure of interior angle = 180

    2x + 4x = 180

    6x = 180

    x = 30

    Finding the measure of an exterior angle

    measure of exterior angle = 2x = 2 (30) = 60 degrees

    Finding the measure of interior angle

    measure of interior angle = 4x = 4 (30) = 120 degrees
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The measure of an exterior angle of a regular polygon is 2x, and the measure of an interior angle is 4x. Using the relationship between ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers