In this article, we are going to learn what vertical angles are and how to calculate them. Before we begin, let’s first familiarize ourselves with the following concepts about lines.
You are watching: These are angles opposite one another at the intersection of two lines.
What are intersecting and parallel lines?
Intersecting lines are straight lines that meet or crosses each other at a certain point. The figure below shows the illustration of intersecting lines.
1400 + z = 1800
z = 1800 – 1400
z = 400
But (x + y) + z = 1800
(x + y) + 400 = 1800
x + y = 1400
900 + y = 1400
y = 500
If 1000 and (3x + 7) ° are vertical angles, find the value of x.
Vertical angles are equal, therefore;
(3x + 7)0 = 100 0
3x = 100 – 7
3x = 93
x = 310
Hence, the value of x is 31 degrees.
Applications of Vertical Angles (h3)
Vertical angles have many applications that we see or experience in our daily lives.
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