Let the other two angles be 6x and 7x. The sum of all four angles in a quadrilateral is 360°, so we can set up an equation:
178° + 78° + 6x + 7x = 360°
Simplifying and solving for x, we get:
261° + 13x = 360°
13x = 99°
x = 7.6° (rounded to one decimal place)
Now we can find the measures of the other two angles:
6x = 6(7.6) = 45.6°
7x = 7(7.6) = 53.2°
Therefore, the measures of the other two angles are 45.6° and 53.2°.
Two angles of a quadrilateral measure 178° and 78°. The other two angles are in a ratio of 6:7. What are the measures of those two angles?
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