the measure of an interior angle is 60 degrees less than 11 times the measure of an exterior angle find the value of the interior angle
I+E=180
I=11E-60
Each interior angle measure equals each exterior angle measure. Find the number of sides a regular polygon must have.
BT bisects<ABC, M<ABT=4x-16 and m<CBT=2x=6 Find m<ABT
To find the value of the interior angle, let's start by assigning variables:
Let x be the measure of the exterior angle.
The measure of the interior angle can be expressed as 11 times the measure of the exterior angle minus 60 degrees.
Therefore, the equation becomes:
Interior angle = 11x - 60
Now, we need to solve for x. We know that the sum of the interior and exterior angle of a polygon is always 180 degrees. Therefore, we can create an equation:
x + (11x - 60) = 180
Simplifying the equation, we get:
12x - 60 = 180
12x = 240
x = 20
Now that we know the value of x, we can substitute it back into the equation for the interior angle:
Interior angle = 11x - 60
Interior angle = 11*20 - 60
Interior angle = 220 - 60
Interior angle = 160
Therefore, the value of the interior angle is 160 degrees.