paulaochoa0427 paulaochoa0427
  • 27-09-2019
  • Mathematics
contestada

Find the value of X and the measure of angle MNQ

Find the value of X and the measure of angle MNQ class=

Respuesta :

jimrgrant1 jimrgrant1
  • 27-09-2019

Answer:

see explanation

Step-by-step explanation:

Since ∠MNP is right, then

∠MNQ + ∠QNP = ∠MNP ← substitute values

3x - 13 + 58 = 90, that is

3x + 45 = 90 ( subtract 45 from both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Hence

∠MNQ = 3x - 13 = (3 × 15) - 13 = 45 - 13 = 32°

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