Question

In order to answer the question correctly, please use the following two images down below:

Describe the error in finding the angle measure.

Find the correct angle measure.

m∠1=(blank)

What is the error in finding the angle measure? What is the correct angle measurement for angle 1?

Please show all the work on how you got your answers. (Note- I am not asking for an explanation if you can't give one. All I need is the work shown so I can see how you got your answers)

Answer 1

1) D

2) 26°

Explanation:

The difference should have been divided by 2 (multiplied by ½)

½(52) = 26

Answer 2

see below

Explanation:

You found that when secants/chords meet inside the circle, the angle where they meet is half the sum of the intercepted arcs.

When the secants/tangents meet outside the circle, the angle where they meet is half the difference of the intercepted arcs.

The working shown is good as far as it goes. The difference needs to be multiplied by 1/2.

The angle is (122° -70°)/2 = 52°/2 = 26°.