Question

Given the measure of three angles in a quadrilateral, find the measure of the fourth angle. 880, 700, 1470, _____

Answer 1

The sum of the angle of a quadrilateral is equal to 360 degrees. Let x be the measure of the missing angle. Given that we have 88, 70, and 147 degrees for the three sides of the quadrilateral, the equation describing the sum of the angles can be written as:

`88+70+147+x=360`

Solve for x,

`\begin{gathered} x=360-88-70-147 \\ x=360-305 \\ x=55 \end{gathered}`

Therefore, the measure of the fourth angle is 55 degrees.