If a pentagon has one angle measuring 120 degrees, what can be inferred about the other angles?
Practice Questions
1 question
Q1
If a pentagon has one angle measuring 120 degrees, what can be inferred about the other angles?
All other angles must also be 120 degrees.
The sum of the other angles must be 360 degrees.
At least one angle must be less than 60 degrees.
The pentagon cannot exist.
The sum of the interior angles of a pentagon is 540 degrees. If one angle is 120 degrees, the sum of the other four angles must be 540 - 120 = 420 degrees.
Questions & Step-by-step Solutions
1 item
Q
Q: If a pentagon has one angle measuring 120 degrees, what can be inferred about the other angles?
Solution: The sum of the interior angles of a pentagon is 540 degrees. If one angle is 120 degrees, the sum of the other four angles must be 540 - 120 = 420 degrees.
Steps: 6
Step 1: Understand that a pentagon has five sides and five angles.
Step 2: Know that the sum of all interior angles in a pentagon is 540 degrees.
Step 3: Identify that one angle of the pentagon is given as 120 degrees.
Step 4: To find the sum of the other four angles, subtract the given angle from the total sum: 540 degrees - 120 degrees.
