Question

Angles of Triangles Quick Check 1 of 5
If a triangle has a angle
and a angle, what can be
established about the third
angle measure and the type of
triangle? (1 point)
22°
46°
The third angle
measure is , and
the triangle is an
obtuse triangle.
112°
The third angle
measure is , and
the triangle is an
obtuse triangle.
128°
The third angle
measure is , and
the triangle is an acute
triangle.
112°
The third angle
measure is , and
the triangle is an
obtuse triangle

Answer 1

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

Given the two angles:
- 22°
- 46°

First, you add these two angles together:

22° + 46° = 68°

Next, you subtract this sum from 180° to find the measure of the third angle:

180° - 68° = 112°

So, the third angle measures 112°.

Now to determine what type of triangle it is:
- An acute triangle has all angles less than 90°.
- A right triangle has one angle equal to 90°.
- An obtuse triangle has one angle greater than 90°.

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

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