i understand that in the EAT thereom the sum of the inside angles equal to the outside angle.. in my homework i have to find the angle of a inside angle, and it gives me 2 outside angles that are 130 degrees and 120 degrees, how do i find the inside angle ?

Question

i understand that in the EAT thereom the sum of the inside angles equal to the outside angle.. in my homework i have to find the angle of a inside angle, and it gives me 2 outside angles that are 130 degrees and 120 degrees, how do i find the inside angle ?

Answer 1

To find the measure of the inside angle, you can use the fact that the sum of the measures of the interior angles of a triangle is always 180 degrees. In this case, you are given two outside angles: 130 degrees and 120 degrees.

First, subtract each outside angle from 180 degrees to find the measures of the corresponding inside angles.

For the first outside angle (130 degrees), the corresponding inside angle can be found by subtracting 130 from 180:
Inside angle 1 = 180 - 130 = 50 degrees.

For the second outside angle (120 degrees), repeat the process:
Inside angle 2 = 180 - 120 = 60 degrees.

Thus, the measures of the inside angles are 50 degrees and 60 degrees.