In a quadrilateral, three of the angles are obtuse. Which of the following could not be the angle measure of the fourth angle?
20°
40°
60°
90°

Question

In a quadrilateral, three of the angles are obtuse. Which of the following could not be the angle measure of the fourth angle?
20°
40°
60°
90°

jlastino · Answer

The sum of all angles in a quadrilateral is 360
The problem states that the three angles are obtuse, meaning they have measures between 90 and 180 degrees

So lets say that the three angles are 91
This gives us (91x3) = 273 as the total value of the angles so far

The answer is 90 degrees because when you add 90 to 273 it would be greater than 360
90+273= 363