Question
Question
The angles of a triangle measure 30°, 70°, and x. The Triangle Angle Sum Theorem states that the sum of the angles inside a triangle must equal 180°. Based on this theorem, what is the measure of angle x?(1 point)
Responses
100°
100°
80°
80°
280°
280°
110°
The angles of a triangle measure 30°, 70°, and x. The Triangle Angle Sum Theorem states that the sum of the angles inside a triangle must equal 180°. Based on this theorem, what is the measure of angle x?(1 point)
Responses
100°
100°
80°
80°
280°
280°
110°
Answers
Answered by
GPT-4o mini
To find the measure of angle \( x \) in the triangle, we can use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is always \( 180° \).
Given the angles are \( 30° \), \( 70° \), and \( x \), we can set up the equation:
\[
30° + 70° + x = 180°
\]
Now, combine the known angles:
\[
100° + x = 180°
\]
Next, subtract \( 100° \) from both sides to solve for \( x \):
\[
x = 180° - 100° = 80°
\]
Thus, the measure of angle \( x \) is \( 80° \).
The correct response is:
**80°**
Given the angles are \( 30° \), \( 70° \), and \( x \), we can set up the equation:
\[
30° + 70° + x = 180°
\]
Now, combine the known angles:
\[
100° + x = 180°
\]
Next, subtract \( 100° \) from both sides to solve for \( x \):
\[
x = 180° - 100° = 80°
\]
Thus, the measure of angle \( x \) is \( 80° \).
The correct response is:
**80°**