Find the missing angle measure. Then classify the triangle by its angles.

Question

An obtuse triangle with angles 40 degrees, 105 degrees and x degrees.
A. 35º, right
B. 35º, obtuse
C. 35º, scalene
D. 35º, acute

Answer 1

To find the missing angle measure, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

So,

40 + 105 + x = 180

Simplifying,

x = 35

Therefore, the missing angle measure is 35 degrees.

Now, we can classify the triangle by its angles.

Since one angle is obtuse (greater than 90 degrees), the triangle is an obtuse triangle.

Also, since all three angles are different, the triangle is a scalene triangle.

So, the answer is C. 35º, scalene.