The angle of the quadrilateral is 80 degrees, the other is 100 degrees, the rest are equal

The angle of the quadrilateral is 80 degrees, the other is 100 degrees, the rest are equal, find the largest angle of the quadrilateral.

Let’s find out how many degrees the sum of two angles of our quadrangle will correspond to when we know from the condition that one is 80 °, while the second is 100 °:

100 + 80 = 180.

Let us find out how many degrees each of the unknown angles of our quadrangle corresponds to when we know from the condition that they are the same:

(360 – 180): 2 = 90.

Let us compare the first and second angles known from the condition:

80 <100.

Let’s compare the larger of them with any of the found ones:

90 <100.

Answer: 100 °.