Two lines intersect at a point and form an angle of 70 degrees. What is the measure of the vertically opposite angle?
Practice Questions
1 question
Q1
Two lines intersect at a point and form an angle of 70 degrees. What is the measure of the vertically opposite angle?
70 degrees
110 degrees
180 degrees
90 degrees
Vertically opposite angles are equal. Therefore, the measure of the vertically opposite angle is also 70 degrees.
Questions & Step-by-step Solutions
1 item
Q
Q: Two lines intersect at a point and form an angle of 70 degrees. What is the measure of the vertically opposite angle?
Solution: Vertically opposite angles are equal. Therefore, the measure of the vertically opposite angle is also 70 degrees.
Steps: 4
Step 1: Understand that when two lines intersect, they form two pairs of vertically opposite angles.
Step 2: Recognize that vertically opposite angles are always equal to each other.
Step 3: Note that one of the angles formed by the intersection is given as 70 degrees.
Step 4: Since the vertically opposite angle is equal to the angle of 70 degrees, we conclude that the measure of the vertically opposite angle is also 70 degrees.