If two angles are equal and their sum is 180 degrees, what is the measure of eac

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Question: If two angles are equal and their sum is 180 degrees, what is the measure of each angle? (2022)

Options:

Correct Answer: 90 degrees

Exam Year: 2022

Solution:

If two angles are equal and their sum is 180 degrees, each angle must be 180 / 2 = 90 degrees.

If two angles are equal and their sum is 180 degrees, what is the measure of each angle? (2022)

If two angles are equal and their sum is 180 degrees, what is the measure of each angle? (2022)

Step 1: Understand that we have two angles that are equal.
Step 2: Let the measure of each angle be represented as 'x'.
Step 3: Since the two angles are equal, we can say the first angle is 'x' and the second angle is also 'x'.
Step 4: According to the problem, the sum of these two angles is 180 degrees. So we can write the equation: x + x = 180.
Step 5: Simplify the equation: 2x = 180.
Step 6: To find the value of 'x', divide both sides of the equation by 2: x = 180 / 2.
Step 7: Calculate the division: x = 90.
Step 8: Therefore, each angle measures 90 degrees.

Angle Properties – Understanding the properties of angles, specifically that two equal angles summing to 180 degrees indicates they are both right angles.
Algebraic Manipulation – Applying basic algebra to solve for unknowns, in this case, dividing the total sum by the number of angles.