If a triangle has a 22°

Question

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

The third angle measure is 68°
, and the triangle is an obtuse triangle.
The third angle measure is 68 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 128°
, and the triangle is an obtuse triangle.

Answer 1

To find the measure of the third angle in a triangle, we use the fact that the sum of the angles in any triangle is always 180°. Given that we have a 22° angle and a 46° angle, we can calculate the third angle as follows:

Third angle = 180° - (22° + 46°) Third angle = 180° - 68° Third angle = 112°

Now, let's classify the triangle based on the angles:

• An obtuse triangle has one angle measuring greater than 90°.
• An acute triangle has all angles measuring less than 90°.

Since the third angle measures 112°, which is greater than 90°, the triangle is classified as an obtuse triangle.

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