If a triangle has a 22° angle and a 46° angle, what can be established about the third angle measure and the type of triangle?(1 point)

Question

Responses

The third angle measure is 128°, and the triangle is an obtuse triangle.
The third angle measure is 128 degrees , and the triangle is an obtuse triangle.

The third angle measure is 112°, and the triangle is an acute triangle.
The third angle measure is 112 degrees , and the triangle is an acute triangle.

The third angle measure is 112°, and the triangle is an obtuse triangle.
The third angle measure is  112 degrees , and the triangle is an obtuse triangle.

The third angle measure is 68°, and the triangle is an obtuse triangle.

Answer 1

To find the measure of the third angle in a triangle, you can use the fact that the sum of the angles in a triangle is always 180 degrees. Given the two angles of 22° and 46°:

\[ \text{Third Angle} = 180° - (22° + 46°) \] \[ \text{Third Angle} = 180° - 68° \] \[ \text{Third Angle} = 112° \]

Now, we know that the third angle measures 112°. Since an angle greater than 90° is considered obtuse, this triangle is an obtuse triangle.

Therefore, the correct response is: The third angle measure is 112°, and the triangle is an obtuse triangle.