Question

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)

Answer 1

No, it is obtuse

Answer 2

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

Let's denote the third angle as x.

Given that one angle is 22° and another angle is 46°, we have:

22° + 46° + x = 180°

Simplifying the equation, we get:

68° + x = 180°

Now, subtracting 68° from both sides:

x = 180° - 68°

x = 112°

Therefore, the third angle measures 112°.

Regarding the type of triangle, we can determine it based on the angle measures. If all three angles are less than 90°, then the triangle is an acute triangle. If one angle is exactly 90°, it is a right triangle. If one angle is greater than 90°, it is an obtuse triangle.

In this case, since all three angles (22°, 46°, and 112°) are less than 90°, the triangle is an acute triangle.

Answer 3

Apologies for the mistake. You are correct. The triangle is indeed an obtuse triangle since one of the angles measures more than 90°. Thank you for pointing that out.