1. Year 11 Mini-Assessment 3
HIGHER
Angle
Relationships

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

3.     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

4.    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