Question

Find m of MLJ

See photo below

Answer 1

• 45°

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The angle formed by a tangent and secant is half the difference of the intercepted arcs:

• 12x - 3 = (175 - 21x - 1)/2
• 24x - 6 = 174 - 21x
• 24x + 21x = 174 + 6
• 45x = 180
• x = 4

Find the measure of ∠MLJ by substituting 4 for x in the angle measure:

• m∠MLJ = 12*4 - 3 = 48 - 3 = 45