Question

Help on any of the remaining questions would be appreciated. Thanks

Answer 1

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`