Answer: (i) SPQ = [tex]78^{0}[/tex]
(ii) SQR = 146°
Step-by-step explanation:
<SPQ = 146 - 68 = [tex]78^{0}[/tex] ( the exterior angle of a triangle is equal to the sum of the two opposite interior angle )
RQS is the exterior angle
The opposite interior angles are PSQ and SPQ , from the theorem :
PSQ + SPQ = RQS , that is
68 + SPQ = 146
SPQ = 146 - 68
SPQ = [tex]78^{0}[/tex]
(ii) SQR = RQS
Therefore : SQR = 146°
