If a triangle has a 22 degree angle and a 46 degree angle, what can be established about the third angle measure and the type of triangle?
To find the measure of the third angle, we can subtract the sum of the two given angles from 180 degrees, since the sum of angles in a triangle is always 180 degrees.
180 - 22 - 46 = 112
Therefore, the measure of the third angle is 112 degrees.
The triangle can be classified as an obtuse triangle because it has one angle greater than 90 degrees (the 112 degree angle).
If a triangle has a 22 degree angle and a 46 degree angle, we can find the measure of the third angle by using the fact that the sum of the angles in a triangle is always 180 degrees.
Let's denote the third angle as x.
Therefore, we have the equation:
22 + 46 + x = 180
From this equation, we can solve for x:
x = 180 - 22 - 46
x = 112
So, the measure of the third angle is 112 degrees.
Now, let's determine the type of triangle based on the angle measures.
Since all three angles of the triangle are less than 90 degrees (22, 46, and 112), we can classify this triangle as an acute triangle.
To find out the measure of the third angle in the triangle when two angles are given, you need to apply the property that the sum of the interior angles of a triangle is always 180 degrees.
Given that one angle is 22 degrees and another angle is 46 degrees, you can find the measure of the third angle by subtracting the sum of these two angles from 180 degrees:
Third angle = 180 degrees - (22 degrees + 46 degrees)
Calculating the third angle:
Third angle = 180 degrees - 68 degrees
Third angle = 112 degrees
Therefore, the measure of the third angle in this triangle is 112 degrees.
Now, let's determine the type of triangle based on the angle measures:
1. Acute Triangle: A triangle with all three angles measuring less than 90 degrees.
2. Right Triangle: A triangle with one angle measuring exactly 90 degrees.
3. Obtuse Triangle: A triangle with one angle measuring greater than 90 degrees.
In this case, with angle measures of 22 degrees, 46 degrees, and 112 degrees, we can establish that the triangle is an Obtuse Triangle.