Question

13. Find the measure of ZABC. Show your work.
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Answer 1

47°

Explanation:

In the picture attached, the problem is shown.

When two secants intersect at a point, the angle made is one-half of the difference between the greater arc and the minor arc formed. In this case:

∠ABC = 1/2*(arc DE - arc AC)

Replacing with data from the picture:

∠ABC = 1/2*(142° - 48°)

∠ABC = 47°