Exploring Angles and Sides of Triangles

What is the sum of the interior angles of a triangle?

• 180 degrees

• 360 degrees

• 270 degrees

• 90 degrees

If a triangle has angles 8x, 2x + 25, and 35 degrees, what is the value of x?

• 15

• 12

• 10

• 20

In an isosceles triangle, if two sides are congruent, what can be said about the angles opposite these sides?

• They are complementary

• They are congruent

• They are obtuse

• They are right angles

If the base angles of an isosceles triangle are 66 degrees each, what is the measure of the vertex angle?

• 60 degrees

• 66 degrees

• 48 degrees

• 54 degrees

If two angles of a triangle are congruent in an isosceles triangle, what can be inferred about the sides opposite these angles?

• They are congruent

• They are parallel

• They are unequal

• They are perpendicular

What is the measure of each angle in an equilateral triangle?

• 30 degrees

• 45 degrees

• 90 degrees

• 60 degrees

What is the value of x in an equilateral triangle where the sides are represented by 3x + 8 and 4x - 4?

• 8

• 10

• 12

• 14

What is the relationship between the sides and angles in an equilateral triangle?

• No sides or angles are equal

• Only sides are equal

• All sides and angles are equal

• Only angles are equal

Using the Pythagorean theorem, if one leg is 3 and the other is 4, what is the length of the hypotenuse?

• 8

• 5

• 7

• 6

In a right triangle, if the hypotenuse is 20 and one leg is 16, what is the length of the other leg?

• 15

• 8

• 12

• 10