Question

Find the measure of the missing angle

Answer 1

z = 69°

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
  `90 + 122 + 79 + z = 360`

Step 1: Combine like terms.

• 
  `(90+122+79)+z=360`
• 
  `z + 291 = 360`

Step 2: Subtract 291 from both sides.

• 
  `z + 291 - 291 = 360 - 291`
• 
  `z = 69`

Step 3: Check if solution is correct.

• 
  `(69) + 261=360`
• 
  `360 = 360`

Therefore, z = 69°.

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