I need help with this and I have a test soon!!!

Question

What is the measure of angle 4 if  and ?

Answer 1

Hi, this looks like a quadrilateral and the inner angles of a quadrilateral is 360 degrees. The three degrees we know add up to 120 degrees, this subtracted from 360 is 240 degrees, which is the fourth angle.

Answer 2

I will assume that the question is about 4-sided polygons (quadrilaterals), otherwise the answer is unknown.

Then we will rely on this formula: if N is the number of sides of the polygon, then

(N - 2) * 180 is the total number of degrees in the 4 angles of the polygon.

That would be (4 - 2) * 180, in our case, which is 360 degrees.

Then we just add up the 3 known angles and subtract from 360.

I get 240 degrees for the answer.