To determine the correct equation representing two adjacent angles, let's analyze each option given:
-
(3x) + (78x) = 180: This equation would imply that the two angles are complementary, but it's not the correct form since \(3x + 78x\) simplifies to \(81x\), which isn't a good representation of a pair of adjacent angles typically.
-
(3x) + (8x + 70) = 180: This represents two angles where one angle is \(3x\) and the other angle is \(8x + 70\). These two angles could be adjacent angles and the equation correctly sets them to equal \(180\), suggesting they are supplementary.
-
(3x) + (8x + 70) = 90: This would imply that the two angles add up to \(90\), meaning they would be complementary. The equation takes the same angles from option 2 but sets them to equal \(90\) instead of \(180\).
-
(3x) - (8x + 70) = 180: This format implies a difference and is not typically how adjacent angles would be expressed.
The most suitable equation for two adjacent angles commonly found in geometry would be where the angles either add up to \(180\) (supplementary) or \(90\) (complementary).
Since your options include both types, if the angles in question are known to be supplementary (as often seen with adjacent angles), the correct equation would be:
(3x) + (8x + 70) = 180