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4
920
26°
?
74°
find the missing angle.

4 920 26 74 Find The Missing Angle class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  44°

Step-by-step explanation:

The sum of the marked angles on the right is equal to the sum of the marked angles on the left:

  ? + 74 = 92 + 26

  ? = 92 +26 -74 = 44

The missing angle is 44°.

_____

Additional comment

The vertical angles in the center of the figure are v = 62°, the measure required to bring the total to 180° in each triangle. We have shortcut the equation(s) ...

  ? + 74 + v = 180 = 92 + 26 + v

by subtracting v from both sides, giving ...

  ? +74 = 92 +26

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