Ronaldomartinidn
Answered

Explore a diverse range of topics and get answers from knowledgeable individuals on IDNLearn.com. Our platform provides accurate, detailed responses to help you navigate any topic with ease.

Find the measure of arc ABC.

Find The Measure Of Arc ABC class=

Sagot :

Luv2Teachidn

Answer:

Step-by-step explanation:

The angle (angle D) created by 2 tangents to a circle (DC and DA) is half of the difference between its intercepted arcs (arc ABC - arc AC):

[tex]65=\frac{1}{2}(x-[360-x])[/tex] If we don't know the measures of either of the arcs, but we DO know that the measure around the outside of a circle is 360 degrees, then we will call arc ABC "x", making arc AC "360 - x". Solving:

2(65) = 2x - 360 and

130 = 2x - 360 and

130 + 360 = 2x and

490 = 2x so

x = 245. This means that arc ABC is 245 and arc AC is 115.

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.