Parallel Lines Geometry: Find Angle X Using 53° and 94° Measures

Question

The angles below are between parallel lines.

XXX535353949494

What is the value of X?

Video Solution

Solution Steps

00:00 Find X
00:08 The sum of angles on a line equals 180
00:18 Subtract the known angle to find the desired angle
00:31 The sum of angles in a triangle equals 180
00:38 Add up the angles and solve to find X
00:51 And this is the solution to the question

Step-by-Step Solution

Our initial objective is to find the angle adjacent to the 94 angle.

Bearing in mind that adjacent angles are equal to 180, we can calculate the following:

18094=86 180-94=86
Let's now observe the triangle.

Considering that the sum of the angles in a triangle is 180, we can determine the following:

180=x+53+86 180=x+53+86

180=x+139 180=x+139

180139=x 180-139=x

x=41 x=41

Answer

41°