Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Arcs and angles relay puzzle

Arcs And Angles Relay Puzzle class=

Sagot :

Applying the angles of intersecting chords theorem, the value of x in the first figure is: x = 7.

What is the Angles of Intersecting Chords Theorem?

If two chords of a circle intersect, the angles of intersecting chords theorem states that, the measure of the angle formed equals 1/2(sum of the measure of the arcs which are intercepted.

Thus, we can use the angles of intersecting chords theorem to find missing angles or value of x in the questions given.

For example, let's find the value of x in the first figure given:

12x + 5 = 1/2(83 + 95)

12x + 5 = 89

12x = 89 - 5

12x = 84

x = 7

Using same strategy, you can solve the rest of the problem given.

Learn more about the angles of intersecting chords theorem on:

https://brainly.com/question/1626547