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3 years ago

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

Mathematics

1 answer:

lozanna [386]3 years ago

7 0

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°.

_____

<em>Additional comment</em>

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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