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Can you help me solve this? I’m supposed to solve for x

Can you help me solve this? I’m supposed to solve for x-example-1
User Gowansg
by
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1 Answer

2 votes

Answer:

The measure of x is;


x^(\circ)=145^(\circ)

Step-by-step explanation:

Given the figure in the attached image.

to solve for x;

since line JK and KL are congruent, then the arc JK and KL are congruent;


JK\cong KL\cong x^(\circ)

The sum of the angles in the circumference of the circle is;


\begin{gathered} 2x^(\circ)+70^(\circ)=360^(\circ) \\ 2x^(\circ)=360^(\circ)-70^(\circ) \\ 2x^(\circ)=360^(\circ)-70^(\circ) \\ 2x^(\circ)=290^(\circ)^{} \\ x^(\circ)=(290^(\circ))/(2) \\ x^(\circ)=(290^(\circ))/(2) \\ x^(\circ)=145^(\circ) \end{gathered}

Therefore, the measure of x is;


x^(\circ)=145^(\circ)

User Nilay Vishwakarma
by
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