Question

In a Quadrilateral, two of the angles each have a measure of 110°, and the measure of the third angle is 90°. What is the measure of the remaining angle?

Answer 1

50°

Explanation:

The total measurement of the sum of the interior angles is 360.

It is given that two of the angles has a measurement of 110. The third angle has a measurement of 90. Let the unknown measurement angle = x. Set the equation:

110 + 110 + 90 + x = 360

Combine like terms:

(110 + 110 + 90) + x = 360

310 + x = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 310 from both sides:

310 (-310) + x = 360 (-310)

x = 360 - 310

x = 50

50° is the measurement of the remaining angle.