Identifying Triangle Types and Angles in Real Life

A gardener is designing a triangular flower bed. If one angle is 60 degrees and another is 70 degrees, what type of triangle is it?

• Right triangle

• Obtuse triangle

• Scalene triangle

• Acute triangle

In a triangle, one angle measures 90 degrees, and the other two angles are equal. What are the measures of the other two angles, and what type of triangle is it?

• The other two angles measure 45 degrees each, and the triangle is a right isosceles triangle.

• The other two angles measure 60 degrees each, and the triangle is an equilateral triangle.

• The other two angles measure 30 degrees each, and the triangle is a scalene triangle.

• The other two angles measure 50 degrees each, and the triangle is an obtuse triangle.

A triangular park has sides measuring 5 meters, 5 meters, and 8 meters. What type of triangle does this represent?

• Right triangle

• Isosceles triangle

• Equilateral triangle

• Scalene triangle

A triangle has angles measuring 45 degrees, 45 degrees, and 90 degrees. What type of triangle is it, and what is the sum of its angles?

• Scalene triangle; sum of angles is 90 degrees.

• Isosceles right triangle; sum of angles is 180 degrees.

• Equilateral triangle; sum of angles is 180 degrees.

• Right triangle; sum of angles is 360 degrees.

During a school project, students create a triangular banner with angles of 50 degrees, 60 degrees, and 70 degrees. What type of triangle is this?

• Right triangle

• Obtuse triangle

• Acute triangle

• Scalene triangle

A triangular piece of pizza has one angle measuring 30 degrees and another measuring 60 degrees. What is the measure of the third angle, and what type of triangle is it?

• The third angle measures 60 degrees, and it is an equilateral triangle.

• The third angle measures 45 degrees, and it is an isosceles triangle.

• The third angle measures 90 degrees, and it is a right triangle.

• The third angle measures 120 degrees, and it is an obtuse triangle.

In a triangle, one angle measures 120 degrees. What can you say about the other two angles, and what type of triangle is it?

• The other two angles are both 90 degrees, making it a right triangle.

• The other two angles are each less than 60 degrees, and the triangle is obtuse.

• One angle is 30 degrees and the other is 60 degrees, making it an equilateral triangle.

• The other two angles are each 60 degrees, and the triangle is acute.

A construction worker is building a triangular roof with angles of 30 degrees, 60 degrees, and 90 degrees. What type of triangle is this?

• Equilateral triangle

• Isosceles triangle

• 30-60-90 triangle

• Scalene triangle

A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. What type of triangle is it, and what is the measure of the largest angle?

• Obtuse triangle, largest angle is 120 degrees.

• Acute triangle, largest angle is 60 degrees.

• Scalene triangle, largest angle is 80 degrees.

• Right triangle, largest angle is 90 degrees.

A triangular sign has angles measuring 80 degrees, 50 degrees, and 50 degrees. What type of triangle is it, and what is the sum of its angles?

• The triangle is a scalene triangle, and the sum of its angles is 360 degrees.

• The triangle is an obtuse triangle, and the sum of its angles is 180 degrees.

• The triangle is an acute triangle, and the sum of its angles is 180 degrees.

• The triangle is a right triangle, and the sum of its angles is 90 degrees.