For the parallelogram, if m angle 2=4x-20 and m angle 4=3x-11 find m angle 1. The diagram is not to scale.

Answer: m angle 1=164°
Step-by-step explanation:
Since the two provided angles are congruent we can make the equation
4x-20=3x-11
Subtract 3x from each side
x-20=-11
Add 20 to each side
x=9
now apply our x to one of the angles
4(9)-20
36-20
16
In a parellelogram all sides added up =360° so if we subtract 16•2 from 360 we can get the sun of the two remaining angles. So 360-32 is 328°. Divide that by 2 to get the angle measure of one of the two angles. 164