The measure of ∠4 is 45°.
Solution:
Line segment VR is parallel to the line segment US.
m∠1 = 45°
∠1 and ∠4 are corresponding angles.
<em>If two lines are parallel, then the corresponding angles are congruent.</em>
m∠1 = m∠4
45° = m∠4
m∠4 = 45°
The measure of ∠4 is 45°.
3. x+100 = 90 alternate interior angles are equal
subtract 100 from each side
x+100 - 100 = 90-100
x = -10
4. 17x+1 = 120 alternate exterior angles are equal
subtract 1 from each side
17x+ 1 -1 = 120 -1
17x = 119
divide each side by 17
17x/17 = 119
x =7
486.12 as fraction is 12153/25
HOPE THIS HELPS
either
-(3x+3)-2x (less than) -4(x-2)-2
-3x+3-2x (less than) -4x +8-2
-5x+3 (less than)-4x+6
Or if you need it simplified
-5x +3 (less than) -4x+6
+4x 4x
-x+3 (less than) 6
-3 -3
-x(less than) 3
(-x/-1) Less than (3/-1)
x (less than) -3
(didnt have the less than greater than sign so typed it)