Answer:
Arc KL = 30°
Arc JK = 90°
Step-by-step explanation:
Arc KL is a connected to a central angle with the measurement of 30°. Because it is a central angle, the arc's measurement will be the same as the central angle's measurement:
Arc KL = 30°
Arc JK is connected to a central angle that has a right angle measurement sign. A right angle = 90°. Because it is a central angle, the arc's measurement will be the same as the central angle's measurement:
Arc JK = 90°
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Angle 1 and 2 are supplementary angles, meaning they must add up to 180°. You can tell this because they share a side and together, their other side forms a straight line (and straight lines are 180<span>°).
Knowing this, you can make an equation to solve for x:
Angle 1 + Angle 2 = 180</span><span>°
</span>10x + 4 + 5x – 4 = 180°
15x = 180°
x = 12°
Knowing x = 12°, you can plug the value of x into the equation for angle 2 to find its measurement:
<span>Angle 2 = 5x – 4
</span>Angle 2 = 5(12°) - 4
Angle 2 = 56°
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Answer: A) 56°
I think A when there is an outlier
