Answer:
x=6
B = 20
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
55+ 3x+2 = 13x-3
Combine like terms
57+3x = 13x -3
Subtract 3x from each side
57+3x-3x = 13x-3x-3
57 = 10x-3
Add 3 to each side
57+3 = 10x-3+3
60 = 10x
Divide each side by 10
60/10 = 10x/10
6 =x
We also want angle B
B = 3x+2
3*6+2
18+2
20
Answer:
<h3>
m∠2 = 67°</h3>
Step-by-step explanation:
m║n ⇒ (9x + 2)° = 74° {Corresponding Angles}
(9x)° = 72°
x = 8
Angles: angle corresponding to angle (5x-1)°, angle 74° and angle 2 add to 180° (straight angle)
(5×8 - 1)° + 74° + m∠2 = 180°
39° + 74° + m∠2 = 180°
113° + m∠2 = 180°
m∠2 = 180° - 113°
m∠2 = 67°
14/15
5/15 + (3x3 / 3x5) = 5/15 + 9/15 = 14/25