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: $108^{\circ}$

Step-by-step 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 $108^{\circ}$.