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

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

The third angle measure is 112°, 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 a triangle is always 180°.

Given angles:

• First angle = 22°
• Second angle = 46°

Calculating the third angle: Third angle = 180° - (22° + 46°) Third angle = 180° - 68° Third angle = 112°

Now, to determine the type of triangle based on the angles:

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

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

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