Grade 6 Geometry: Angle and Side Challenges in Triangles

A triangle has two angles measuring 45 degrees each. What is the measure of the third angle?

• 75 degrees

• 120 degrees

• 60 degrees

• 90 degrees

In a right triangle, one angle measures 30 degrees. What is the measure of the other non-right angle?

• 45 degrees

• 60 degrees

• 90 degrees

• 75 degrees

A triangle has sides measuring 5 cm, 12 cm, and a missing side. If the triangle is a right triangle, what is the length of the missing side?

• 8 cm

• 15 cm

• 10.91 cm

• 6.5 cm

A park is shaped like a triangle with one angle measuring 60 degrees and the other two angles measuring 70 degrees and 50 degrees. What type of triangle is this?

• Scalene triangle

• Acute triangle

• Right triangle

• Obtuse triangle

A triangular garden has one angle measuring 90 degrees and the other two angles measuring 45 degrees each. If one side is 10 meters, what is the length of the hypotenuse?

• 20 meters

• 5 meters

• 15 meters

• 10√2 meters

In a triangle, the angles are in the ratio 2:3:5. What are the measures of the angles?

• 45 degrees, 45 degrees, 90 degrees

• 36 degrees, 54 degrees, 90 degrees

• 20 degrees, 70 degrees, 90 degrees

• 30 degrees, 60 degrees, 90 degrees

A triangular piece of land has one angle measuring 80 degrees and the other two angles measuring 50 degrees and a missing angle. What is the measure of the missing angle?

• 70 degrees

• 30 degrees

• 50 degrees

• 60 degrees

A triangle has sides of lengths 7 cm and 24 cm. If the triangle is a right triangle, what is the length of the hypotenuse?

• 20 cm

• 25 cm

• 30 cm

• 26 cm

A triangle has angles measuring 40 degrees and 70 degrees. What is the measure of the third angle?

• 90 degrees

• 80 degrees

• 70 degrees

• 60 degrees

In a triangle, one angle measures 110 degrees and the other two angles are equal. What are the measures of the two equal angles?

• 40 degrees

• 50 degrees

• 35 degrees

• 60 degrees