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

Answer 1

In any triangle, the sum of the three interior angles is always 180 degrees. Given that you have a triangle with a 22° angle and a 46° angle, you can find the measure of the third angle as follows:

1. Add the measures of the two known angles: \( 22° + 46° = 68° \)

2. Subtract this sum from 180° to find the third angle: \( 180° - 68° = 112° \)

So, the third angle measures 112°.

Now, regarding the type of triangle:

• A triangle with one angle measuring greater than 90° (in this case, the third angle is 112°) is classified as an obtuse triangle.

To summarize: The third angle measures 112°, and the triangle is an obtuse triangle.