Question

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°

Answer 1

132 maybe

Explanation:

Answer 2

`arc\ JM=132^o`

Explanation:

The picture of the question in the attached figure

step 1

we know that

`arc\ JM+arc\ ML+arc\ LK+arc\ KJ=360^o` ----> by complete circle

substitute the given values

`(13x+2)^o+(8x-3)^o+(7x+7)^o+(5x+24)^o=360^o`

solve for x

`(33x+30)^o=360^o\\33x=360-30\\33x=330\\x=10`

step 2

Find the measure of arc JM

`arc\ JM=(13x+2)^o`

substitute the value of x

`arc\ JM=(13(10)+2)^o=132^o`