Understanding Angles in Triangles

What is the sum of the angles in a triangle?

• 360 degrees

• 120 degrees

• 90 degrees

• 180 degrees

If one angle in a triangle is 48°, what is the measure of the other two angles if they are equal?

• 60°

• 72°

• 66°

• 54°

In a triangle, if one angle is 48° and another is 72°, what is the measure of the third angle?

• 60°

• 90°

• 50°

• 80°

Explain how to determine if a triangle is acute, right, or obtuse based on its angles.

• A triangle is always classified as equilateral.

• The triangle is classified based on its side lengths only.

• The triangle is classified as acute, right, or obtuse based on the measures of its angles.

• A triangle can only be acute if all angles are equal.

If a triangle has angles measuring 48°, x°, and y°, and x = y, what are the values of x and y?

• 48°

• 72°

• 90°

• 66°

What type of triangle has one angle measuring 48°?

• right triangle

• obtuse triangle

• isosceles triangle

• acute triangle

If a triangle has angles of 48°, 60°, and z°, what is the value of z?

• 60°

• 72°

• 90°

• 45°

How does the property of angles in a triangle help in solving for unknown angles?

• The angles in a triangle can be any value, regardless of their sum.

• The property of angles in a triangle states that the sum of the angles is 180 degrees, which helps in calculating unknown angles.

• The angles in a triangle are always equal to each other, making calculations unnecessary.

• The property of angles in a triangle states that the sum of the angles is 360 degrees.

If the angles of a triangle are in the ratio 2:3:4 and one angle is 48°, what are the measures of the other two angles?

• 40°, 80°

• 50°, 70°

• 30°, 60°

• 20°, 90°

What is the relationship between exterior angles and interior angles in a triangle?

• The exterior angle is always greater than the largest interior angle.

• The sum of all angles in a triangle is equal to the exterior angle.

• Each interior angle is equal to the corresponding exterior angle.

• The exterior angle of a triangle is equal to the sum of the two opposite interior angles.