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°

Answer 1

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:

• 30°
• 70°
• \( x \)

We can set up the equation:

\[ 30° + 70° + x = 180° \]

Adding 30° and 70° together gives:

\[ 100° + x = 180° \]

Now, to find \( x \), subtract 100° from both sides:

\[ x = 180° - 100° = 80° \]

Thus, the measure of angle \( x \) is 80°.