The sum of the measures of two of the angles formed by the intersection of two lines is 114°. Find the measures of all angles. I need four answers, as in four angles.

Measures of all angles are 57°, 57°, 123°, 123°

Step-by-step explanation:

Given:

Sum of two angles = 114°

Find:

Measures of all angles

Computation:

Sum of all 4 angles = 360°

Sum of remain 2 angles = 360° - 114°

Sum of remain 2 angles = 246°

So, first two angles = 114° / 2 = 57°

Second two angles = 246° / 2 = 123°

So, measures of all angles are 57°, 57°, 123°, 123°