Which of the following is the equation of a line in slope-intercept form for a line with slope=2/3 and y-intercept at (0,-2)?
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Use the tangent-chord theorem:
The included chord-tangent angle is half the size of the intercepted arc.
The intercepted arc is "c".
The included chord-tangent-angle is the supplement of 110=70 degrees.
Therefore from the tangent-chord theorem, 70 degrees = half the size of arc "c"
=>
arc "c" = 2*intercepted angle = 2*70 degrees = 140 degrees.
The included chord-tangent angle is half the size of the intercepted arc.
The intercepted arc is "c".
The included chord-tangent-angle is the supplement of 110=70 degrees.
Therefore from the tangent-chord theorem, 70 degrees = half the size of arc "c"
=>
arc "c" = 2*intercepted angle = 2*70 degrees = 140 degrees.
Since you know the given angle is 46deg. You also know that a straight line is equal to 180deg. So it's a supplementary angle, therefore you subtract 46 from 180 and get 134. And since the l, m, and n are parallel, they have congruent angles. So x = 134deg.
