Question

I need help on in the answer to this question

Answer 1

D. 100

Explanation:

We can calculate the internal angles since the sum of all of them are equal to 360°, and that the behaved angles are equal, therefore, we can establish the following equation:

`\begin{gathered} 73+73+\alpha+\alpha=360 \\ 2\alpha=360-73-73 \\ \alpha=(214)/(2) \\ \alpha=107\text{\degree} \end{gathered}`

We can calculate the value of z, with the help of the following rule:

Therefore, in this case:

`\begin{gathered} \alpha=(1)/(2)(z+114) \\ \text{ replacing and solving for z} \\ 107=(1)/(2)(z+114) \\ 214=z+114 \\ z=214-114 \\ z=100 \end{gathered}`

The value of z is 100°