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elena55 [62]
3 years ago
9

Please help If u dont answer a serous answer I will report u

Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

Answer:

  • x = 27°

Step-by-step explanation:

Consider the triangle XYW.

<u>Since ∠X is right angle, the other two angles are complementary:</u>

  • m∠Y + m∠W = 90°

Also, VWX and ZYX are straight angles, which are equal to 180°.

<u>According to angle addition postulate we have:</u>

  • m∠Y = 180° - 4x and
  • m∠W = 180° - 6x

<u>Add up the above two and compare with first sum, then solve for x:</u>

  • m∠Y + m∠W = 90°
  • 180° - 4x + 180° - 6x = 90°
  • 360° - 10x = 90°
  • 10x = 270°
  • x = 27°
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