Identify the Triangle Type: 45-Degree Angle Classification Problem

Question

What type of triangle appears in the drawing?

454545

Video Solution

Solution Steps

00:00 What type of triangle appears in the drawing?
00:03 The sum of angles in a triangle equals 180
00:09 Let's substitute appropriate values according to the given data and solve for A
00:21 Let's isolate angle A
00:32 This is angle A
00:40 Supplementary angle on a line
00:45 It's impossible to know the other angles in the triangle
00:50 Therefore it cannot be determined, and this is the solution to the question

Step-by-Step Solution

Since we are given an angle of 45 and an angle of 90, we will refer to the triangle and calculate the missing angle based on the theorem that the sum of angles in a triangle equals 180 degrees.

Let's call this angle alpha:

α+45+90=180 \alpha+45+90=180

α+135=180 \alpha+135=180

Let's move the sides:

α=180135 \alpha=180-135

α=45 \alpha=45

Looking at the second triangle, we notice that the angle adjacent to 90 will also be equal to 90 since it complements to 180 degrees.

Besides this, we don't have any more data, so we won't be able to calculate angles or determine the type of triangle.

Answer

It is not possible to calculate