A triangle has two angles that have measures of 22.5 degrees and 101 degrees.
a. Find the measure of the third angle.
b. Classify the triangle by its angle measures.
Triangle has 180 degrees
22.5 + 101 = 123.5
180 - 123.5 = 56.5
A. 56.5
Obtuse triangle: An obtuse triangle is a triangle having an obtuse angle.
Obtuse angle: An obtuse angle is an angle whose measure is more than 90 degrees and less than 180 degrees.
B. Obtuse triangle
what if the triangel has three sides but all are using the value x how do i solve that
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.
a. Let's assume the measure of the third angle is x degrees.
The sum of the three angles in the triangle would be:
22.5 degrees + 101 degrees + x degrees = 180 degrees
Simplifying the equation:
123.5 degrees + x degrees = 180 degrees
To find x, we can subtract 123.5 degrees from both sides of the equation:
x degrees = 180 degrees - 123.5 degrees
x degrees = 56.5 degrees
Therefore, the measure of the third angle is 56.5 degrees.
b. To classify the triangle by its angle measures, we can compare the measures of the three angles.
Since one angle measures 22.5 degrees, another angle measures 101 degrees, and the third angle measures 56.5 degrees, we can say that the triangle is classified as an "obtuse triangle."
This is because an obtuse triangle has one angle that is greater than 90 degrees. In this case, the angle measuring 101 degrees is greater than 90 degrees, making the triangle an obtuse triangle.