53,241 views
16 votes
16 votes
4
920
26°
?
74°
find the missing angle.

4 920 26° ? 74° find the missing angle.-example-1
User Andrew Schwartz
by
2.6k points

1 Answer

5 votes
5 votes

9514 1404 393

Answer:

44°

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

User Carolina Faedo
by
2.6k points