Question

If two angles of a triangle are 40° and 75°, identify the type of triangle. (a) Equilateral triangle (c) Isosceles triangle (b) Scalene triangle (d) Right-angled triangle.​

Answer 1

Answer:

(b) scalene

Step-by-step explanation:

40+75=105

180-105= 95

95 is the other angle

since all angles are different and there is no right angle, the answer is not equilateral, isoceles or right angled therefore it is (b) scalene

Answer 2

Here two angles of a triangle are given to be 40° and 75°

First, we will find the third angle

Let the third angle be x

Then, x + 40 + 75 = 180

                        x = 180 -115

                         x = 65°

1)No angle in the triangle is 90°

So, it is surely not a right-angled triangle

2) It is not an equilateral triangle because, all the angles in an equilateral triangle have a measure of 60°

3) As all the angles of the triangle are different, therefore, the length of all the sides will also be different.

Hence, the given triangle is a scalene triangle

Option b will be the correct answer