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Pavlova-9 [17]
3 years ago
5

Anybody know the answer?

Mathematics
1 answer:
maks197457 [2]3 years ago
3 0

We know that the sum of measures of internal angles in each quadrangle is 360°.

Look at the picture.

\alpha+\beta+\gamma+\delta=360^o\ \text{and}\ \delta+\tau=360^o\\\\\text{therefore}\\\\\alpha+\beta+\gamma+\delta=\delta+\tau\ \ \ |-\delta\\\\\alpha+\beta+\gamma=\tau

Therefore we have:

\theta=35^o+83^o+23^o=141^o

Answer: θ = 141 deg.

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