Answer:
1. alternating interior angles
2. 60°
Step-by-step explanation:
1. By definition of <em>Alternating Interior Angles</em>, the angles must be located in between the parallel lines, and opposite of each other (hence alternating). The measurements of the two angles are exactly the same.
2. Since the angle measurements of Alternating Interior Angles are the same, x would = 60° as well.
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-3x+14=4x-7 = x=3
The answer is x=3
<h3>
Answer:</h3>
<u>As above angles are supplementary</u>,
- x + 120° = 180°
- x = 180° - 120°
- x = 60°
<u>Hence, value of x is 60°</u>.
<u>7.1 cm long is the arc</u><u> intersected by a central angle .</u>
What is length of an arc?
- The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
- Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
Learn more about<u> </u> length of an arc
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