Short Answer: 150
Remark
You have to use two facts.
1. The central angle = 2 * the angle at B
2. The central angle = the arc angle.
Given
angle at B = 75 degrees.
Calculate the central angle
Central angle = 2 * angle at B
Central angle = 2 * 75
Central angle = 150
Conclusion
The arc angle = Central angle
The arc angle = 150 degrees.
The correct answer is C !
Answer:
x = 20
y = 26
Step-by-step explanation:
40 and 2x are vertical angles, so they're equal to each other.
40 = 2x
Divide both sides by 2
x = 20
We see that 40 and 5y + 10 are a linear pair, which means they add up to 180.
5y + 10 + 40 = 180
5y + 50 = 180
5y = 130
y = 26
It's a slope-intercept form where a slope = -1.5 and y-intercept = 3.
x - intercept: y = 0
Therefore we have the equation:
-1.5x + 3 = 0 |-3
-1.5x = -3 |:(-1.5)
x = 2
Answer: x-intercept = 2, y-intercept = 3
