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In circle N, KL ≅ ML. Circle N is shown. Line segments N J, N M, N L, and N K are radii. Lines are drawn to connect each point on the circle to create secants J M, M L, L K, and K J. M L and K L are congruent. The measure of arc J K is (5 x + 24) degrees, the measure of arc J M is (13 x + 2) degrees, the measure of arc M L is (8 x minus 3) degrees, and the measure of arc K L is (7 x + 7) degrees. What is the measure of Arc J M? 77° 90° 132° 154°

Respuesta :

calculista

Answer:

[tex]arc\ JM=132^o[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

[tex]arc\ JM+arc\ ML+arc\ LK+arc\ KJ=360^o[/tex] ----> by complete circle

substitute the given values

[tex](13x+2)^o+(8x-3)^o+(7x+7)^o+(5x+24)^o=360^o[/tex]

solve for x

[tex](33x+30)^o=360^o\\33x=360-30\\33x=330\\x=10[/tex]

step 2

Find the measure of arc JM

[tex]arc\ JM=(13x+2)^o[/tex]

substitute the value of x

[tex]arc\ JM=(13(10)+2)^o=132^o[/tex]

Ver imagen calculista

Answer:

132 maybe

Step-by-step explanation:

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