Respuesta :

Answer:

25°

Step-by-step explanation:

The angle on a straight line is given as 180°

So the first step to find the arc KL. That we can find or obtain be subtracting 130° from 180°

We would have : 180° - 130°

= 50°

Hence Arc KL = 50°

From the question above, we are asked to solve for the inscribed angle i.e we should fine the measure KJL

The formula to use is

Inscribed angle = 1/2 × the arc

Inscribed angle (KJL) = 1/2 × 50°

Inscribed angle = 25°

Hence the measure of KJL = 25°

The measure of KJL is 25°

Calculation of the measure of KJL:

Since The angle on a straight line is 180°

So here we first determine the arc KL that should be

= 180° - 130°

= 50°

Now the measure of KJL is

Inscribed angle = half of the arc

= half of 50°

= 25°

Hence,  the measure of KJL = 25°

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