Question

If a triangle has 22• angle and a 46• angle, what can be established about the third angle measure and the type of triangle?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measure of the third angle in the triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Let's denote the measure of the unknown angle as x.

We have the known angles as 22 degrees and 46 degrees.

So, the sum of these three angles should be equal to 180 degrees:

22 + 46 + x = 180

Combining like terms, we have:

68 + x = 180

Subtracting 68 from both sides of the equation:

x = 112

Therefore, the measure of the third angle is 112 degrees.

Based on the measure of the angles, we can establish that the triangle is an acute triangle. An acute triangle is a triangle in which all three angles are less than 90 degrees.