galzyin
Answered

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find the measure of the missing angle


Find The Measure Of The Missing Angle class=

Sagot :

renknee

Answer:

z = 69°

Step-by-step explanation:

The sum of all interior angles in a quadrilateral is 360°, and a right angle is worth 90°. We're given the values of the interior angles as 90, 122, 79, and z degrees.

  • We can solve this question algebraically with the equation [tex]90 + 122 + 79 + z = 360[/tex]

Step 1: Combine like terms.

  • [tex](90+122+79)+z=360[/tex]
  • [tex]z + 291 = 360[/tex]

Step 2: Subtract 291 from both sides.

  • [tex]z + 291 - 291 = 360 - 291[/tex]
  • [tex]z = 69[/tex]

Step 3: Check if solution is correct.

  • [tex](69) + 261=360[/tex]
  • [tex]360 = 360[/tex]

Therefore, z = 69°.

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