The three angles of quadrilateral are respectively equal to 110, 50, and 40. Find its fourth angle.
The four angles of a quadrilateral add up to 360 degrees.
they add up to 360 so 160
160 with Angle Sum Property
To find the fourth angle of a quadrilateral, you need to know that the sum of all the angles in a quadrilateral is always 360 degrees.
Given that three angles of the quadrilateral are 110, 50, and 40, you can find the fourth angle by subtracting the sum of these three angles from 360.
Let's break it down step by step:
1. Calculate the sum of the three known angles:
Sum = 110 + 50 + 40 = 200 degrees
2. Subtract the sum from 360 to find the fourth angle:
Fourth angle = 360 - 200 = 160 degrees
Therefore, the fourth angle of the quadrilateral is 160 degrees.