50.3k views
3 votes
Help on any of the remaining questions would be appreciated. Thanks

Help on any of the remaining questions would be appreciated. Thanks-example-1
User Lordneru
by
8.0k points

1 Answer

5 votes

4

Given:


\hat{AC}=105\degree\text{ and }\hat{BD}=83\degree.

Required:

We need to find the value of x.

Step-by-step explanation:


We\text{ know that }\angle AOC\text{ is formed by two chords.}


\hat{AC}=105\degree\text{ and }\hat{BD}=83\degree\text{ are Intercepted Arcs.}

We know that


\text{ Angle Formed by Two Chords = }(1)/(2)(\text{ Sum of Intercepted Arcs\rparen}
m\angle AOC=(1)/(2)(\hat{mAC}+\hat{mBD})


Substitue\text{ }\hat{m\angle AOC=x\degree,mAC}=105\degree\text{ and }\hat{mBD}=83\degree in\text{ the formula.}
x\degree=(1)/(2)(105\degree+83\degree)


x\degree=94\degree

Final answer:


x\degree=94\degree

Help on any of the remaining questions would be appreciated. Thanks-example-1
User Ether
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories