Question

In ABC the measure of angle A is 30 degrees. In DEF the measure of angle f is 60 degrees. Find the rest of the angle measure in each triangle and compare them

Answer 1

Triangle ABC = A = 30 B= 60 C= 90

Triangle DEF = D = 60, E = 60, F = 60

Explanation:

First of all, we should know that, in every triangle the total sum of angles = 180 degrees. So, here in triangle ABC we have been given angle A as 30 degrees, which means other two angles sum = 180 - 30 = 150 degrees. And in DEF, we have 60 degrees as angle F, which means it's other side can only be 60 + 60 + 60 = 180 which is known as equilateral triangle.

So, in triangle ABC with angle 30 degrees. It is probable that, it could be 30, 60, 90 triangle. which is a right triangle with other side 90 degrees and 60 degrees respectively.

Comparison:

Triangle ABC Triangle DEF

Right Angle Triangle Equilateral Triangle

30 + 60 + 90 = 180 60 + 60+ 60 = 180

A = 30, B= 60, C= 90 D = 60, E =60, F = 60