maths ( foundation )

• What do the three angles in a triangle always add up to?

  180°
• If angle A is 29° and angle B is 118°, what is the missing angle C in the triangle?

  33°
• How do you find the missing angle X in a triangle if you know two angles?

  Add the two known angles and subtract from 180°
• What is the process to find angle X when given angles of 29° and 118°?

  Add 29° and 118° to get 147°, then subtract from 180° to find X
• What is the value of angle X if angles A and B are 29° and 118° respectively?

  33°
• What does the symbol for a right angle indicate in a triangle?

  It indicates a 90° angle
• If you have a right angle of 90° and another angle of 18°, how do you find the missing angle X?

  Add 90° and 18°, then subtract from 180°
• What is the missing angle X if the known angles are 90° and 18°?

  72°
• In an isosceles triangle, what can be said about the angles at the base?

  They are equal
• If one angle in an isosceles triangle is 75°, what are the other two angles?

  75° and 30°
• How do you find the top angle X in an isosceles triangle with two equal angles of 75°?

  Subtract the sum of the two equal angles from 180°
• What is the value of angle X in an isosceles triangle with two angles of 75°?


  30°
• How do you find the angles in an isosceles triangle when given the top angle?

  Subtract the top angle from 180° and divide by 2
• If the top angle in an isosceles triangle is 32°, how do you find the other two angles?

  Subtract 32° from 180° and divide by 2
• What is the value of angle X if the top angle is 32° in an isosceles triangle?

  74°
• How can you verify the angles in a triangle add up to 180°?

  By adding all three angles together
• What is the final check to confirm the angles in a triangle are correct?

  Ensure they add up to 180°
• What do the four angles in a quadrilateral always add up to?

  360 degrees
• How can you find the fourth angle in a quadrilateral if three angles are known?

  Add the three angles together and subtract from 360 degrees
• What is a scaling triangle?

  A triangle with all sides of different lengths
• If the angles of a quadrilateral are 120 degrees, 60 degrees, and 70 degrees, what is the fourth angle?

  110 degrees
• Why is it important to check that the angles in a triangle add up to 180°?

  To confirm the triangle's angle properties are correct
• Why do the angles in a quadrilateral add up to 360 degrees?

  Because a quadrilateral can be divided into two triangles, each summing to 180 degrees
• How do you perform subtraction when borrowing is needed in angle calculations?

  Adjust the next left digit down by one and add 10 to the current digit
• How many degrees do the angles in a triangle add up to?

  180 degrees
• What does it mean if a triangle has two equal sides?

  It is an isosceles triangle
• How do the angles in a parallelogram relate to each other?

  Opposite angles are equal, and adjacent angles add up to 180 degrees
• If one angle in a parallelogram is 130 degrees, what is the measure of the opposite angle?

  130 degrees
• If one angle in a parallelogram is 60 degrees, what is the measure of the other angle that is adjacent to it?

  120 degrees
• What is a key property of the angles in a kite?

  The angles on the left and right are equal to each other
• If two angles in a kite are 110 degrees each, what is the measure of the remaining angle?

  140 degrees
• How do the angles in a rhombus compare to those in a parallelogram?

  They have the same properties; opposite angles are equal and adjacent angles add to 180 degrees
• If one angle in a rhombus is 105 degrees, what is the measure of the opposite angle?

  105 degrees
• In a trapezium, if the top and bottom sides are parallel, what can be said about the angles on the left and right sides?

  The angles on the left add up to 180 degrees, and the angles on the right also add up to 180 degrees
• If one angle in a trapezium is 80 degrees and the adjacent angle is x, what is the value of x?

  100 degrees
• If one angle in a trapezium is 130 degrees, what is the measure of the adjacent angle on the same side?

  50 degrees
• What are the properties of angles in a quadrilateral?

  • The sum of the four angles is always 360 degrees.
  • If three angles are known, the fourth can be found by subtracting their sum from 360 degrees.
  • A quadrilateral can be divided into two triangles, each summing to 180 degrees.
• What are the properties of angles in special quadrilaterals?

  • Parallelogram: Opposite angles are equal; adjacent angles sum to 180 degrees.
  • Kite: Angles on the left and right are equal; all angles sum to 360 degrees.
  • Rhombus: Same properties as a parallelogram.
  • Trapezium: Angles on the left and right sides sum to 180 degrees.
• What are the key takeaways about angles in quadrilaterals?

  • Angles in a quadrilateral always add up to 360 degrees.
  • The method to find a missing angle involves summing known angles and subtracting from 360.
  • Special quadrilaterals have unique properties regarding their angles.