In a triangle, if one angle measures 50 degrees and the other two angles are equ

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Question: In a triangle, if one angle measures 50 degrees and the other two angles are equal, what is the measure of each of the equal angles?

Options:

Correct Answer: 70 degrees

Solution:

The sum of angles in a triangle is 180 degrees. Let x be the measure of each equal angle: 50 + 2x = 180, so 2x = 130, thus x = 65 degrees.

In a triangle, if one angle measures 50 degrees and the other two angles are equal, what is the measure of each of the equal angles?

In a triangle, if one angle measures 50 degrees and the other two angles are equal, what is the measure of each of the equal angles?

Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
Step 2: Identify the angles in the triangle. One angle is given as 50 degrees, and the other two angles are equal.
Step 3: Let the measure of each of the equal angles be represented by 'x'.
Step 4: Write an equation to represent the sum of the angles: 50 + x + x = 180.
Step 5: Simplify the equation: 50 + 2x = 180.
Step 6: Subtract 50 from both sides of the equation: 2x = 180 - 50.
Step 7: Calculate the right side: 2x = 130.
Step 8: Divide both sides by 2 to find the value of x: x = 130 / 2.
Step 9: Calculate the value of x: x = 65 degrees.
Step 10: Conclude that each of the equal angles measures 65 degrees.

Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
Algebraic Manipulation – Setting up and solving equations to find unknown values.