Answer :
Final answer:
In congruent triangles ABC and DEF, if angle A and E are equal and measure 40 degrees, and angle F measures 65 degrees, then the measure of angle B would be 75 degrees using the triangle angle sum property.
Explanation:
In congruent triangles ABC and DEF, we know that corresponding angles are equal. Hence, if angle A and angle E are 40 degrees, and angle F is 65 degrees, we can use the triangle angle sum property which states that the total measure of the angles in any triangle is 180 degrees. Let's calculate:
- First, calculate the sum of angles A and F: 40 degrees + 65 degrees=105 degrees.
- Then, to find the measure of angle B, subtract the sum of angles A and F from 180 degrees: 180 degrees - 105 degrees = 75 degrees.
Learn more about Congruent Triangles here:
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