six angles of a heptagon measure 107 degrees, 139 degrees, 131 degrees, 110 degrees, 145 degrees, and 128 degrees. what is the measure of the seventh angle?

Question

please answer as fast as you can

thank you :)

Answer 1

heptagon = a seven-sided polygon or 7-gon

In the 1960's, Seymour Papert and his team at M.I.T. created a "turtle" that could draw on the floor under computer program control. The Logo language comes from this. Try it:

http://www.logointerpreter.com/turtle-editor.php

If the turtle starts pointing in a certain direction, moves, then turns some angle -- seven times it will be back in its original position if the sum of the external angles (that is, the angles turned) is 360°.

If there are 7 external angles, and the sum of those angles is X, then the sum of the internal angles is:

360° - X

The sum of all the internal angles of a simple polygon is 180(n–2)° where n is the number of sides.

107° + 139° + 131° + 110° + 145° + 128 + °A = 180(7-2)°

A - 140°

Answer 2

use the formula (n-2)*180 to find the total number of degrees in the polygon

(7-2)*180=5*180=900 degrees

107+139+131+110+145+128=760 degrees

900-760=140 degrees