Line m is parallel to line n find the value of x and each missing angle measure
1 answer:
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Answer:
The arc measure, x, that the satellite can see is 160°
Step-by-step explanation:
Given that the two tangents intersect at a point outside the with circle center O
The angle formed between between the two tangent = 20°
The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see
The angle x is given by the relationship;
x = 2 × (90 - v/2)
Where;
v = The angle formed at the point where the two tangent meet = 20°
Therefore;
x = 2 × (90 - 20/2) = 2 × (90 - 10) = 2 × 80 = 160°
The arc measure, x, that the satellite can see = 160°.
Step 1
<u>Find the value of x</u>
we know that
-------> by corresponding angles, because the given lines are parallel
Solve for x
Step 2
<u>Find the value of y</u>
we know that
substitute the value of x and solve for y
therefore
<u>the answer is the option B</u>