Hi! So, I'm doing a test, and I've answered all my answers except for one:
Find the missing angle measure. Then classify the triangle by its measures.
Because this will not let me post a photo, I will write what all the angles are:
40 degrees (less than 90), 105 degrees (more than 90), and 35 degrees(less than 90).
A. 35; Right Triangle
(I know this isn't correct, as this triangle doesn't have any right angles.)
B. Obtuse
(One of the correct answers. I know this is true because it has one angle larger than 90 degrees, and two less than 90 degrees.)
C. Scalene
(Also true, as all sides are uneven.)
D. Acute
(Wrong. All sides are not under 90 degrees.)
I can't choose which answer would be the best. Can I, maybe, get some help? (I've explained my reasoning, please don't think I'm just looking for answers. My grades me a lot to me.)
I would go for scalene
Since the data was given as measurement of angles, I would go for properties of the triangle in terms of angles,
So I would pick obtuse triangle
Even though it is also a scalene triangle, "scalene" is a term associated with the lengths of the sides of a triangle.
By definition, B and C are both correct. We cannot say one is more correct
than the other.
Of course! It's great to see that you're reasoning through the problem and trying to understand the concepts. Let's break down the problem step by step.
To find the missing angle measure, we need to know the sum of all the angles in a triangle. In a triangle, the sum of the angles is always 180 degrees.
Now, let's look at the given angles: 40 degrees, 105 degrees, and 35 degrees. If we add them together (40 + 105 + 35), we get 180 degrees. This means that the sum of the given angles is equal to the sum of all angles in a triangle, which confirms that we are indeed dealing with a triangle.
To find the missing angle measure, we can subtract the sum of the given angles from 180 degrees. So, 180 - (40 + 105 + 35) = 180 - 180 = 0 degrees. Therefore, the missing angle measure is 0 degrees.
Now, let's classify the triangle by its measures.
We have one angle less than 90 degrees (40 degrees), one angle greater than 90 degrees (105 degrees), and one angle equal to 0 degrees (missing angle). Since it's possible for a triangle to have an angle equal to 0 degrees (although it would be degenerate), we can conclude that this triangle is an obtuse triangle.
In summary, based on the given angle measures, the missing angle measure is 0 degrees, and the triangle is classified as an obtuse triangle because it has one angle greater than 90 degrees.