Answer:
Hence x = 60 and y = 50
e = 85 degrees
f = 158 degrees
Step-by-step explanation:
1) The sum of the interiror angle of the triangle is equal to the exterior
Given
Interior angles = y and 70
Exterior angle = 120 degrees
According to the law;
y + 70 = 120
y = 120-70
y = 50°
Sum of angle in the triangle is 180
x + y + 70 = 180
x + 50 + 70 = 180
x + 120 = 180
x = 180-120
x = 60
Hence x = 60 and y = 50
2) The sum of angles on a straight line is 180 degrees
40 + 55 + e = 180
95 + e = 180
e = 180 - 95
x = 85 degrees
3) Sum of angle at a point is 360 degrees
Hence 130 + 36.8 + 35.2 + f= 360
130 + 72 + f = 360
202 + f = 360
f = 360 - 202
f = 158 degrees
Answer:
y = 1/2x - 7
Step-by-step explanation:
y = 1/2x + b
-4 = 1/2(6) + b
-4 = 3 + b
-7 = b
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Answer:
Angle Addition Postulate
Step-by-step explanation:
Given:
Prove:
Proof:
1. 
- Angle Addition Postulate
2. 
- given
3. 
- given
4. 
- Substitution Property of Equality
5. - Simplify
