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) Responses 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. The third angle measure is 68 degrees , and the triangle is an obtuse triangle. 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. Skip to navigation

Question

GPT-4o mini · Answer

To find the measure of the third angle in a triangle, we can use the fact that the sum of the angles in any triangle is always 180°.

Given angles:

First angle = 22°
Second angle = 46°

So, the third angle can be calculated as follows:

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

Now, we know that the third angle is 112°.

Since one angle is greater than 90°, the triangle is classified as an obtuse triangle.

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