Year 11 Mini-Assessment 3 HIGHER Angle Relationships

 3x – 12 + 2x + 4 + x – 4 = 180  6x – 12 = 180 6x = 192  x = 32

    both one   Angle AEB = 70 Angle DEB = 124 x = 124 Reasons MUST Include the words In bold METHOD 1  Angle AEB = 70 Vertically opposite angle are equal  Angle DEB = 124   x = 124 Corresponding angles are equal METHOD 2 Angle AEB = 70 both angles Vertically opposite angle are equal one reason Angle EAB = 54 Alternate angles are equal Angle ABE = 56 Angles in a triangle add to 180  All reasons  x = 124 Angles on a line add to 180

   two  Angle OSR (& OST) = 90 Angle PSR = 42 Angle PMS = 42 Tangent and radius make a right angle  Angle PSR = 42 Angle PMS = 42 Alternate segment theorem with PSR  Angle MSP = 69 Base angles of isosceles triangle are equal Angles in a triangle add to 180  Angle MST = 69 Alternate segment theorem with MPS two reasons  All reasons Alt.Seg.Theorem only needs to be mentioned once OR Angle OSM = 21 Then Angle MST = 69