Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
First, let's establish that, they are co-interior angles on parallel lines. We can identify this as they form a 'C' shape on parallel lines.
Co-interior angles add up to 180°.
Therefore:
( x + 27 )° + ( 3x - 25 )° = 180°
x + 3x = 180 - 27 + 25
4x = 178
x = 178 / 4
x = 89 / 2
x = 44.5°
Hope this helps! <3
Answer:
Congruent Supplements Theorem : If two angles are supplements of the same angles (or of congruent angles), then the two angles are congruent.
