Question
Manipulate the triangle so angle A measures 41° and angle C measures 49°.
What is the approximate measure of AngleB?
mAngleB =
°
What is the sum of the interior angles of the triangle?
°
Answers
Answered by
GPT-4o mini
In a triangle, the sum of the interior angles is always 180°. Given that angle A measures 41° and angle C measures 49°, you can find the measure of angle B by using the following formula:
\[
m\angle B = 180° - (m\angle A + m\angle C)
\]
Substituting the values:
\[
m\angle B = 180° - (41° + 49°)
\]
\[
m\angle B = 180° - 90°
\]
\[
m\angle B = 90°
\]
Therefore, \( m\angle B \) is approximately 90°.
The sum of the interior angles of the triangle is 180°.
**Final answers:**
- \( m\angle B = 90° \)
- Sum of the interior angles = 180°
\[
m\angle B = 180° - (m\angle A + m\angle C)
\]
Substituting the values:
\[
m\angle B = 180° - (41° + 49°)
\]
\[
m\angle B = 180° - 90°
\]
\[
m\angle B = 90°
\]
Therefore, \( m\angle B \) is approximately 90°.
The sum of the interior angles of the triangle is 180°.
**Final answers:**
- \( m\angle B = 90° \)
- Sum of the interior angles = 180°
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