The measure of minor arc jl is 60°. what is the measure of angle jkl?

m∠ JKL = 120°

Step-by-step explanation:

If a circle M is given with arc JL and measure of minor arc JL is given as 60°

Then ∠JML + ∠JKL = 180°

It is given that ∠ JML = m arc JL = 60°

Therefore ∠JKL = 180° - ∠JML = 180 - 60 = 120°

Answer is ∠ JKL = 120°.

The measure of the angle JKL = 120°Step-by-step explanation:

Given that : A circle with minor arc JL and measure of that minor arc JL is given to be 60°

We need to find the measure of the angle JKL

Solution : By using the theorem that the sum of minor arc and the corresponding angle formed by the arc is supplementary

Also, Take circle to be centred at O

⇒ m∠JOL + m∠JKL = 180°

Now, m∠ JOL = measure of minor arc JL = 60°

⇒ m∠JKL = 180° - m∠JOL

⇒ m∠JKL = 180° - 60°

⇒ m∠JKL = 120°

Thus, The measure of the angle JKL = 120°