Questions: What is the measure of angle B, in degrees? A. Cannot be determined B. 16° C. 74° D. 32°

What is the measure of angle B, in degrees? A. Cannot be determined B. 16° C. 74° D. 32°
Transcript text: 2.8.3 Quiz: Isosceles and Equilateral Triangles Question 3 of 10 What is the measure of $\angle B$, in degrees? A. Cannot be determined B. $16^{\circ}$ C. $74^{\circ}$ D. $32^{\circ}$
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Solution

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Solution Steps

Step 1: Recognize Isosceles Triangle

Triangle ABC is an isosceles triangle because sides AB and BC are equal (both 10 units). In isosceles triangles, the angles opposite the equal sides are also equal.

Step 2: Find Angle C

Since triangle ABC is isosceles, angle C is equal to angle A, which is 74°.

Step 3: Find Angle B

The sum of angles in any triangle is 180°. Therefore, angle B can be found using the following equation: Angle A + Angle B + Angle C = 180° 74° + Angle B + 74° = 180° Angle B = 180° - 74° - 74° Angle B = 32°

Final Answer:

The measure of ∠B is 32°. Answer D is correct.

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