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goldfiish [28.3K]
3 years ago
9

If you are given a parallelogram with the top right and left corners each measuring 72* and the bottom right corner measuring 10

8*. What is the measurement of the missing corner, the bottom left corner of the parallelogram?
Mathematics
1 answer:
Crank3 years ago
8 0

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}.

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