Angles of a Triangle Worksheet

Are you struggling to grasp the concept of angles in a triangle? Look no further! This Angles of a Triangle Worksheet is designed to help you practice and master this fundamental geometry concept. With a clear entity and subject, this worksheet is perfect for students who are looking to solidify their understanding and enhance their problem-solving skills related to angles in triangles.

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What are the angles of a triangle?

The angles of a triangle always add up to 180 degrees.

How is the sum of the angles of a triangle calculated?

The sum of the angles of a triangle is calculated by adding the measures of all three interior angles, which always adds up to 180 degrees.

What is an acute triangle?

An acute triangle is a type of triangle in which all three angles are less than 90 degrees, making it a triangle where all angles are acute or less than 90 degrees.

What is a right triangle?

A right triangle is a triangle in which one of the angles measures 90 degrees, also known as a right angle. This particular angle, known as the right angle, is located opposite the longest side of the triangle, which is called the hypotenuse.

What is an obtuse triangle?

An obtuse triangle is a triangle with one angle that is greater than 90 degrees. This means that one of the angles in the triangle is "obtuse" or wider than a right angle, which is 90 degrees. An obtuse triangle will have one angle greater than 90 degrees and two angles that are acute, or less than 90 degrees.

What is a scalene triangle?

A scalene triangle is a type of triangle in which all three sides have different lengths. In addition to having unequal side lengths, the angles of a scalene triangle are also all different from each other.

What is an isosceles triangle?

An isosceles triangle is a triangle that has two sides of equal length, making the two base angles opposite those sides also equal in measure. The third side, called the unequal side, will have a different length than the two equal sides.

What is an equilateral triangle?

An equilateral triangle is a three-sided polygon in which all three sides are of equal length, and all three angles are of equal measure, specifically 60 degrees each.

Can a triangle have two obtuse angles?

No, a triangle cannot have two obtuse angles. In a triangle, the sum of all angles must always be 180 degrees. Since one obtuse angle in a triangle already measures more than 90 degrees, having two obtuse angles would mean their sum would exceed 180 degrees, which is not possible.

Can a triangle have two right angles?

No, a triangle cannot have two right angles. In a triangle, the sum of the three interior angles must always equal 180 degrees. Since a right angle measures 90 degrees, having two right angles in a triangle would result in a total of 180 degrees, leaving no room for a third angle. Thus, a triangle can have at most one right angle.