Answer:
Step-by-step explanation:
You set both sides equal to 180
4x + 20 + 84 = 180
4x = 76
x= 19
C) 65
The lines mean that they are equal or same congruent whatever. Since the top angle is 50 we can subtract 50 from 180.
180 - 50 = 130
Now the other Angles are equal so divide 130 by 2 and you get 65.
First, you have to imagine that you cut the upper triangle. If you do that, then this is how the inner angles are added to 180°:
180° = 90° + (x/2) + (7x - 90°)
180° = x/2 + 7x
180° = x *(1/2 + 7)
180° = x*(15/2)
2/15 * 180° = x
24 = x
Angle A:
A= x/2
A = 24/2
A = 12°
Angle B:
B = 7x
B = 7*24
B = 168°
The two bottom angles are both worth 90°.