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aalyn [17]
3 years ago
15

Find the value of x in each case.

Mathematics
1 answer:
Ivanshal [37]3 years ago
5 0

Answer:

x = 27°

4x = 108°

Step-by-step explanation:

x + y + 100° = 180° _____(1)

4x + y + 49° = 180°_____(2)

(1) - (2)

x + y +  {100}^{o} - (4x + y +  {49}^{o} ) =  {180}^{o} -  {180}^{o}  \\ x  + y +  {100}^{o}  - 4x - y -  {49}^{o}  = 0 \\  - 3x +  {51}^{o}  = 0 \\  - 3x = 0 -  {51}^{o}  \\  - 3x =  -  {51}^{o}  \\ x =  \frac{ - 51}{ - 3}  \\ x =  {27}^{o}  \\

4x

= 4(27°)

= 108°

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