Question 10

loading...

Prev/Next links

waecmaths question: 

Find the sizes of the angle marked x in the diagram 

Option A: 

108o

Option B: 

112o

Option C: 

128o

Option D: 

142o

waecmaths solution: 

$\begin{align}  & \text{In }\vartriangle ABC \\ & {{52}^{\circ }}+{{90}^{\circ }}+a={{180}^{\circ }} \\ & a={{38}^{\circ }} \\ & b=a={{38}^{\circ }}\text{  }\!\!\{\!\!\text{ vertically opposite }\angle s\} \\ & \text{In }\vartriangle CDE \\ & x=b+{{90}^{\circ }}\text{ }\!\!\{\!\!\text{ sum of two opposite }\angle s=ext.\angle \} \\ & x={{38}^{\circ }}+{{90}^{\circ }}={{128}^{\circ }} \\\end{align}$

maths year: