If two lines intersect and form a pair of vertical angles measuring 45 degrees,

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What’s inside this PDF?

Question: If two lines intersect and form a pair of vertical angles measuring 45 degrees, what is the measure of the other pair of vertical angles?

Options:

45 degrees
90 degrees
135 degrees
180 degrees

Correct Answer: 45 degrees

Solution:

Vertical angles are equal, so the other pair of vertical angles also measures 45 degrees.

If two lines intersect and form a pair of vertical angles measuring 45 degrees,

Practice Questions

If two lines intersect and form a pair of vertical angles measuring 45 degrees, what is the measure of the other pair of vertical angles?

45 degrees
90 degrees
135 degrees
180 degrees

Questions & Step-by-Step Solutions

If two lines intersect and form a pair of vertical angles measuring 45 degrees, what is the measure of the other pair of vertical angles?

Step 1: Understand that vertical angles are the angles that are opposite each other when two lines intersect.
Step 2: Note that vertical angles are always equal in measure.
Step 3: Since one pair of vertical angles measures 45 degrees, the angle opposite to it (the other vertical angle) must also measure 45 degrees.
Step 4: Conclude that the other pair of vertical angles also measures 45 degrees.

Vertical Angles – Vertical angles are the angles opposite each other when two lines intersect, and they are always equal in measure.

If two lines intersect and form a pair of vertical angles measuring 45 degrees,

What’s inside this PDF?

If two lines intersect and form a pair of vertical angles measuring 45 degrees,

Practice Questions

Questions & Step-by-Step Solutions

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