Solving for Missing Angles in Triangles

What is the sum of all interior angles in any triangle?

• 360 degrees

• 180 degrees

• 90 degrees

• 270 degrees

In an equilateral triangle, if each angle is represented by 'a', what equation represents the sum of the angles?

• a + a + a = 90

• 2a + a = 180

• 3a = 180

• a + a = 180

How many equal sides does an isosceles triangle have?

• Three

• None

• One

• Two

In an isosceles triangle, if the two equal angles are represented by 'a' and the third angle by 'b', what equation represents the sum of the angles?

• 2a + b = 180

• a + a + b = 360

• a + b = 180

• a + a + b = 90

What is unique about the angles and sides of a scalene triangle?

• No angles and sides are equal

• One angle and side are equal

• Two angles and sides are equal

• All angles and sides are equal

In a scalene triangle, if the angles are represented by 'a', 'b', and 'c', what equation represents the sum of the angles?

• a + c = 180

• a + b + c = 180

• a + b = 180

• a + b + c = 90

If a triangle has angles 30 degrees, 25 degrees, and 4x + 25 degrees, what is the value of x?

• 20

• 25

• 30

• 35

In the example where angle A is 2x, angle B is 3x - 20, and angle C is 90 degrees, what is the value of x?

• 22

• 20

• 26

• 24

If angle A is 2x and x is found to be 22, what is the measure of angle A?

• 66 degrees

• 88 degrees

• 22 degrees

• 44 degrees

If angle B is 3x - 20 and x is found to be 22, what is the measure of angle B?

• 86 degrees

• 66 degrees

• 56 degrees

• 46 degrees