Find angle 4 if angle 2 = 65 degrees and angle 4 and angle 2 are vertical angles. Explain what you did please!!!
Thanks:)
Vertical angles are equal.
Angle 2 = Angle 4
65 degrees = Angle 4
To find angle 4, we will use the fact that vertical angles are congruent.
Step 1: Recall that vertical angles are formed by the intersection of two lines. In this case, angle 2 and angle 4 are vertical angles.
Step 2: Since angle 2 is given as 65 degrees, we know that angle 4 is also 65 degrees because vertical angles are congruent.
So, angle 4 is 65 degrees.
To find angle 4, we need to understand the concept of vertical angles. Vertical angles are formed when two lines intersect. They are opposite angles, meaning they are directly across from each other.
In this problem, angle 2 and angle 4 are vertical angles because they are formed by the intersection of two lines. We are given that angle 2 measures 65 degrees.
Now, here's how we can find angle 4:
1. Remember that vertical angles are congruent, which means they have equal measures. In other words, angle 2 = angle 4.
2. Since angle 2 measures 65 degrees, angle 4 must also measure 65 degrees.
Therefore, angle 4 measures 65 degrees.