Triangle j k l is an isosceles triangle, where angle j is the vertex angle, m angle j equal 50 degree comma and m angle l equal left parenthesis 8 x plus 13 right parenthesis degree. what is the value of x? 3.4 4.6 6.5 7.3

Since triangle JKL is isosceles triangle, then angles adjacent to the base are congruent, so

m∠K=m∠L=8x+13.

If angle J is the vertex angle and has the measure 50°, then according to the Triangle Angle-Sum Theorem,

m∠K+m∠L+m∠J=180°,

(8x+13)+(8x+13)+50=180,

16x=180-50-26,

16x=104,

x=6.5°

option C

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