Question

Can someone find the value of x and y ?

Answer 1

`\text{The quadrilateral shown in the image is a parallelogram because the opposite}\\\text{sides are shown equal. This makes the angles }2x^o \text{ and }40^o\ \text{alternate angles}\\\text{as the opposite sides of parallelogram are parallel.}\\\therefore\ (2x)^o=40^o\\\text{or, }x=20^o`

`\text{Since the opposite angles of parallelogram are also equal,}\\(2x)^o+(y-8)^o=34^o+40^o\\\text{or, }40^o+y-8^o=74^o\\\text{or, }y+32^o=74^o\\\text{or, }y=42^o`