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jok3333 [9.3K]
3 years ago
12

The given value below figure find the value of x

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer:

<h2>x = 117°</h2>

Step-by-step explanation:

We know:

The sum of the quadrilateral angles measures 360°.

Therefore we have the equation:

30^o+39^o+48^o+m\angle D=360^o\qquad(1)

The sum of angles x and D is equal to 360°. Therefore we have the other equation:

x+m\angle D=360^o\qquad(2)

From (1) and (2) we have:

x+m\angle D=30^o+39^o+48^o+m\angle D\qquad\text{subtract}\ m\angle D\ \text{from both sides}\\\\x=30^o+39^o+48^o\\\\x=117^o

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