Triangle mnp has vertices n(2, 2) and p(0, –2). the triangle is symmetric about the y-axis. what is the approximate measure of the largest angle in the triangle?
a.52.8°
b.60.0°
c.63.6°
d.82.9°

Point M of the triangle is (-2,2) to make triangle MNP as shown in the attached image

Triangle MNP has a base of 4 units and a height of 4 units. We can work out the angle x and angle y using trigonometry ratio

We use tan ratio to find both angles












Angle MNP = Angle NMP = 63.43 degrees (this is based on the fact that the triangle is an isosceles triangle)

Angle MPN = 2×26.6 = 53.2 degrees (we multiply by 2 as angle y is only a half of angle MPN - as shown in the diagram)