The measures of three of the angles of a quadrilateral are 40, 70, and 130. What is the measure of the fourth angle?
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To find the measure of the fourth angle of the quadrilateral, we can start by using the property that the sum of all angles in a quadrilateral is 360 degrees.
Let's denote the measures of the three given angles as A1, A2, and A3.
Step 1: Find the sum of the three given angles.
Sum = A1 + A2 + A3
Given: A1 = 40 degrees, A2 = 70 degrees, A3 = 130 degrees
Sum = 40 + 70 + 130
Step 2: Calculate the value of the fourth angle.
Fourth Angle = 360 - Sum
Fourth Angle = 360 - (40 + 70 + 130)
Finally, perform the calculation to determine the value of the fourth angle.