Answer:
m<1 = 69°
Step-by-step explanation:
Angles 20x + 11 and 25x - 14 are vertical angles, so they are congruent.
25x - 14 = 20x + 11
5x = 25
x = 5
The actual measure of angle 20x + 11 is 20(5) + 11 = 111°.
Angle 20x + 11 and <1 are supplementary, so the sum of their measures is 180°.
m<1 + 111° = 180°
m<1 = 180° - 111°
m<1 = 69°
