Question

If you are given a parallelogram with the top right and left corners each measuring 72* and the bottom right corner measuring 108*. What is the measurement of the missing corner, the bottom left corner of the parallelogram?

Answer 1

Answer:
`108^(\circ)`

Explanation:

Given

The top left and right corners measures
`72^(\circ)` and the bottom right corner measures
`108^(\circ)`.

Suppose the missing corner measures
`x`

So, the sum of the four angles of parallelogram is
`360^(\circ)`

`\therefore x+72^(\circ)+108^(\circ)+72^(\circ)=360^(\circ)\\\Rightarrow x=360^(\circ)-252^(\circ)\\\Rightarrow x=108^(\circ)`

Therefore, the missing angle is
`108^(\circ)`.