Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Find the measurement of x

Find The Measurement Of X class=

Sagot :

Hrishii

Answer:

x = 40°

Step-by-step explanation:

In circle with center O.

  • [tex]\angle AOB[/tex] is central angle.

  • [tex]m\angle AOB= 80\degree[/tex] (Given)

  • [tex]m\widehat{(AB)} =m\angle AOB[/tex] (By central angle theorem)

  • [tex]\implies m\widehat{(AB)} =80\degree[/tex]

  • [tex] \angle ACB[/tex] is inscribed angle and [tex]\widehat{(AB)}[/tex] is intercepted by it.

  • [tex]\implies m\angle ACB=\frac{1}{2}\times m\widehat{(AB)}[/tex] (By inscribed angle theorem)

  • [tex]\implies x=\frac{1}{2}\times 80\degree[/tex]

  • [tex]\implies \huge\purple{ x=40\degree}[/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.