Question 21

waecmaths question: 

The diagram show a circle centre O, If $\angle ZYW={{33}^{\circ }}$ Find $\angle ZWX$

Option A: 

33o

Option B: 

57o

Option C: 

90o

Option D: 

100o

waecmaths solution: 

$\begin{align}  & \angle ZYW=\angle ZXW={{33}^{\circ }}\text{     }\!\!\{\!\!\text{ Angles on the segment }\!\!\}\!\!\text{ } \\ & \angle WZX={{90}^{\circ }}\text{    }\!\!\{\!\!\text{ Angle subtended by a semicircle }\!\!\}\!\!\text{ } \\ & \text{Considering }\vartriangle WZX \\ & \angle ZWX+\angle WXZ+\angle WZX={{180}^{\circ }}\text{    }\!\!\{\!\!\text{ sum of angles in a triangle }\!\!\}\!\!\text{ } \\ & \angle ZWX+{{33}^{\circ }}+{{90}^{\circ }}={{180}^{\circ }} \\ & \angle ZWX={{57}^{\circ }} \\\end{align}$ 

maths year: 
maths topics: