If two angles are equal and their sum is 180 degrees, what type of angles are th

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Question: If two angles are equal and their sum is 180 degrees, what type of angles are they?

Options:

Correct Answer: Straight angles

Solution:

If two angles are equal and their sum is 180 degrees, they are straight angles, each measuring 90 degrees.

If two angles are equal and their sum is 180 degrees, what type of angles are they?

If two angles are equal and their sum is 180 degrees, what type of angles are they?

Step 1: Understand that we have two angles that are equal.
Step 2: Let’s call each angle 'x'. Since they are equal, we can say the first angle is x and the second angle is also x.
Step 3: According to the question, the sum of these two angles is 180 degrees. So we can write the equation: x + x = 180.
Step 4: Simplify the equation: 2x = 180.
Step 5: To find the value of x, divide both sides of the equation by 2: x = 180 / 2.
Step 6: Calculate the value: x = 90 degrees.
Step 7: Since both angles are equal and each measures 90 degrees, we can conclude that they are right angles.

Angle Relationships – Understanding the relationship between angles, specifically that two angles that are equal and sum to 180 degrees must each be 90 degrees.
Types of Angles – Identifying types of angles based on their measures, such as acute, right, obtuse, and straight angles.