lines, polygons and triangles

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Question 19

waecmaths question: 

The lengths of the adjacent sides of a right-angled triangle are xcm, (x – 1)cm. If the length of the hypotenuse is $\sqrt{13}cm$ find the value of x

Question 9

waecmaths question: 

In the diagram $KL\parallel MN,\angle NMP={{30}^{\circ }}$ and $\angle NMP={{45}^{\circ }}$ find the size of the reflex $\angle KPM$

Question 50

waecmaths question: 

In the diagram $\overline{OX}$ bisects $\angle YXZ$ and $\overline{OZ}$bisects $\angle YZX$If $\angle XYZ={{68}^{\circ }}$, Calculate the value of $\angle XOZ$

Question 33

waecmaths question: 

In the diagram, $\overline{OT}$and $\overline{PR}$ are straight lines $\angle ROS=(3n-{{20}^{\circ }}),$$\angle POT=2m$, $\angle SOT=n$$\angle POL=m$ and $\angle QOL$is a right angle. Find the value of n

Question 30

waecmaths question: 

In the diagram, $UW\parallel YZ$, $\left| WX \right|=6cm$, $\left| XY \right|=16cm$, and $\left| ZX \right|=12cm$. Calculate $\left| VX \right|$

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