Classify each triangle by its angle measures.

Question

A triangle has angles measuring 35 degrees, 118 degrees, and 27 degrees.
A triangle has tick marks on all three sides and three angles all measuring less than 90 degrees.
A triangle has angles measuring 38 degrees, 90 degrees, and 52 degrees.

Answer 1

The first triangle is an acute triangle.
The second triangle is an obtuse triangle.
The third triangle is a right triangle.

Answer 2

The second answer is wrong.

It said all angles are less than 90, so it is acute
The bot's answer of obtuse would mean one of the angle is > 90°

Since it has tick marks on all 3 sides, it must be equilateral, with all
angles equal to 60°

Answer 3

and the first answer is also wrong -- scalene and obtuse

Answer 4

A right triangle has acute angles measuring 2x+6 degrees and 3x−26 degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the triangle.(4 points)

Answer 5

The sum of all angles in a triangle is always 180 degrees.

If the acute angles of the right triangle are 2x+6 and 3x−26, then the measure of the right angle is 90 degrees.

Therefore, we can use the Triangle Angle Sum Theorem to solve for x:

2x+6 + 3x−26 + 90 = 180

5x+70 = 180

5x = 110

x = 22

Now that we know x, we can substitute it back into the expressions for the acute angles to find their measures:

2x+6 = 50 degrees

3x−26 = 28 degrees

So, the acute angles of the right triangle measure 50 and 28 degrees, while the right angle measures 90 degrees.