Calculate 32011

Calculate the size of the BVC angle if the following applies to the size of the angles: AVB = 37 ° 48 minutes, CVD = 52 ° 30 minutes, AVD = 118 °

Correct answer:

x =  151.7 °

Step-by-step explanation:

$$\begin{gathered} \alpha =37+48/60=\frac{189}{5}=37.8{}^{\circ } \\ \beta =52+30/60=\frac{105}{2}=52.5{}^{\circ } \\ \gamma =118{}^{\circ } \\ \alpha +\beta +\gamma +x=360° \\ x=360-\alpha -\beta -\gamma =360-37.8-52.5-118=151.7^{\circ }=151°42^{\prime } \end{gathered}$$

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