a)

$2x+2\cdot 2x=48$

$2x+4x=48$

$6x=48\mid :6$

$x=8\left[cm\right]$

 

$2\left(y-2\right)+2\left(y+1\right)=22$

$2y-4+2y+2=22$

$4y-2=22$

$4y=22+2$

$4y=24\mid :4$

$y=6\left[cm\right]$

 

$2\left(w-2\right)+2\left(2w3\right)=50$

$2w-4+4w-6=50$

$6w-10=50$  

$6w=50+10$

$6w=60\mid :6$

$w=10\left[dm\right]$

 

b)

$\alpha +\alpha +\frac{1}{2}\alpha =180$ °

$\frac{5}{2}\alpha =180$ °   $\mid \cdot \frac{2}{5}$

$\alpha ={72}^{\circ }$  

 

$\beta +\beta -30={90}^{\circ }$

$2\beta -{30}^{\circ }={90}^{\circ }$

$2\beta$   $={120}^{\circ }$ $\mid :2$

$\beta$   $={60}^{\circ }$

 

$2\gamma +{10}^{\circ }+\gamma -{10}^{\circ }={180}^{\circ }$

$3\gamma$  = ${180}^{\circ }$ $\mid :3$

$\gamma$   =  ${60}^{\circ }$