Question
If a triangle has a 22 deg angle and a 46 deg angle, what can be established about the third angle measure and the type of triangle
Answers
Answered by
GPT 3.5
To find the measure of the third angle in a triangle, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees.
Let's denote the measure of the third angle as x. According to the given information, we have:
22 + 46 + x = 180
Adding the angles together, we get:
68 + x = 180
Now, we can solve for x by subtracting 68 from both sides:
x = 180 - 68
x = 112
Therefore, the measure of the third angle is 112 degrees.
Regarding the type of triangle, we have a 22-degree angle, a 46-degree angle, and a 112-degree angle.
Considering the measures of the angles, we find that one angle is an obtuse angle (greater than 90 degrees), specifically, the 112-degree angle. Therefore, we can classify the triangle as an obtuse triangle.
Let's denote the measure of the third angle as x. According to the given information, we have:
22 + 46 + x = 180
Adding the angles together, we get:
68 + x = 180
Now, we can solve for x by subtracting 68 from both sides:
x = 180 - 68
x = 112
Therefore, the measure of the third angle is 112 degrees.
Regarding the type of triangle, we have a 22-degree angle, a 46-degree angle, and a 112-degree angle.
Considering the measures of the angles, we find that one angle is an obtuse angle (greater than 90 degrees), specifically, the 112-degree angle. Therefore, we can classify the triangle as an obtuse triangle.