Question

Please only solve for angle 1 and ignore the question above.

Answer 1

Answer:

$m\angle1\text{ = 115}\degree$

Explanation:

Here, we want to get the value of the angle marked 1

From what we have, the bigger arc measures 236°

Now, we need to get the value of the arc ML

We have that as:

$236-70-60\text{ = 106}\degree$

Finally, we use one of the angle theorems to get the value

In using it, we have to consider the value of the smaller arc JK which is 124°

Now, we have its value as:

$\frac{106\text{ + 124}}{2}\text{ = 115}\degree$

We add the value of the arc ML and the value of the smaller arc JK and divide by 2