Question

Using the triangle below, set up and solve an equation in order to find the value of x.

Answer 1

x = 180 - 118 - 34.6 = 27.4

Explanation:

The sum of the internal angles of each type of (2D) polygon will only have 1 specific value for each polygon. In the case of a triangle, the interior angles add up to 180 degrees.

Using a statement-reason approach, we start by saying:

Q^ + R^ + S^ = 180 degrees (*) Interior angles of a triangle = 180

(*Please use proper notation if you were already taught it - these computer keyboards can only do so much you know...)

Then you just solve normally for x:

34.6 + 118 + x = 180

x = 180 - 118 - 34.6

x = 27.4 degrees

Answer 2

180 degrees - 118 degrees - 34,6 degrees = 27, 4 degrees

Since the interior angles of a triangle sum up to 180 degrees.

Hope it helps!✨