MATH HELP! FIND THE VALUES OF THE VARIABLE THEN FIND THE MEASURE OF EACH LABELED ANGLE.

Question

1. 
2. 
3. 
4. 
5. 



Answer 1

1) Given the opposite sides are parallel, there are 2 right angles.

then x+(x-50) = 180.

2x - 50 = 180

2x = 230

x = 115

So 90, 90, 115, 65

2) the angles are equal, so 3x-10 = x+40

2x - 10 = 40

2x = 50

x = 25

so the angle is 3(25)-10 = 75-10 = 65 = 25+40

3) adjacent angles are supplementary

5x+4x = 180

9x = 180

x = 20, so 100 and 80

4) 3p-6 = 90

3p = 96

p= 32

5) w=20 by alternate interior angles

x=87 by alternate interior angles

v=42 by alternate interior angles

the angles in the center are then 51 and 129

then w + 129 + y = 180 in the top triangle

20 + 129 + y = 180

149 + y = 180

y = 31