pano po ba magprove ng vertical angles???
yung sa statements and reasons na example
patulong naman stuck na ko dito d ko talaga magets salamat
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pano po ba magprove ng vertical angles???
yung sa statements and reasons na example
patulong naman stuck na ko dito d ko talaga magets salamat
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Answer:
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.
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.
Line PQ and line ST meet at point Q. Therefore, the two lines are intersecting lines.
Parallel lines are lines that do not meet at any point in a plane.
Line AB and line CD are parallel lines because, they not intersect at any point.
What are Vertical Angles?
Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other.
Real-life settings where vertical angles are used include; railroad crossing sign, letter “X’’, open scissors pliers etc. The Egyptians used to draw two intersecting lines and always measure the vertical angles to confirm that both of them are equal.
Vertical angles are always equal to one another. In general, we can say that, 2 pairs of vertical angles are formed when two lines intersect. See the diagram below.
In the diagram above:
∠a and ∠b are vertical opposite angles. The two angles are also equal i.e. ∠a = ∠
∠c and ∠d make another pair of vertical angles and they are equal too.
We can also say that the two vertical angles share a common vertex (the common endpoint of two or more lines or rays).
Proof of the Vertical Angle Theorem
We can prove in the diagram above that.
We know that angle b and angle d are supplementary angles i.e.
We also know that angle a and angle d are supplementary angles i.e.
We can re-arrange the above equations:
Comparing the two equations, we have:
Hence, proved.
Vertical angles are supplementary angles when the lines intersect perpendicularly.
For example, ∠W and ∠ Y are vertical angles which are also supplementary angles. Similarly, ∠X and ∠Z are vertical angles which are supplementary.
Step-by-step explanation:
sana makatulong:)