Q:

The sum of all but one interior angle of a heptagon is 776°. The final angle must have a measure of degrees.

Accepted Solution

A:
Answer:The final angle is 124°Step-by-step explanation:1. Getting the total sum of all angles:The general rule to get the sum of all interior angles is as follows:sum of interior angles = (n-2)*180where n is the number of sidesWe know that a heptagon has 7 sides, therefore:sum of interior angles of a heptagon = (7-2)*180 = 5 * 180 = 900°2. Getting the missing angle:We know that the total sum of all 7 angles is 900°We also know that the sum of 6 of those angles = 776°This means that:measure of the last angle = 900 - 776measure of last angle = 124°The final angle is 124°Hope this helps :)