Question

A triangle has angle measurements of 43°, 60°, and 77°. What kind of triangle is it?

acute
right
obtuse

Answer 1

Obtuse triangle

An obtuse triangle has one obtuse angle in the triangle. Looking at the angle measurements of the triangle, we can tell that there is no obtuse angles in the triangle.

Thus, this triangle is not an obtuse triangle.

Right triangle

A right triangle has one right angle in the triangle. Looking at the angle measurements of the triangle, we can tell that there is no right angles in the triangle.

Thus, this triangle is not a right triangle.

Acute triangle

An acute triangle has to have three acute angles in the triangle. Looking at the angle measurements of the triangle, we can tell that there is three acute angles in the triangle as 43°, 60°, and 77° are acute.

Thus, this triangle is an acute triangle.

Answer 2

acute triangle.

Explanation:

It cannot be a right triangle because there are no 90 degree angles and it cannot be obtuse because none of the given angles are greater than 90 degrees.