Can someone please help me ASAP

Mathematics

1 answer:

konstantin123 [22]2 years ago

4 0

Answer:

x = 50

Step-by-step explanation:

Since MNP is a tangent to the circle at N, then

∠ ONP = 90° , so

∠ ONL = 90° - 55° = 35°

OL = ON ( both radii of the circle )

Thus Δ ONL is isosceles and the base angles are congruent

∠ OLN = ∠ ONL = 35°

JKLN is a cyclic quadrilateral whose opposite angles are supplementary, that is

∠KJN + ∠ KLN = 180 , substitute values

95 + 35 + x = 180

130 + x = 180 ( subtract 130 from both sides )

x = 50

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