Question

Inscribed Angles B
Find each measure.
K
X=
6x
M
L

Answer 1

x = 15

z = 25

Explanation:

In
`\odot\: O, \: \angle MLK` is inscribed in a semicircle.

`\therefore m\angle MLK =90\degree`

`\therefore 6x\degree =90\degree`

`\therefore 6x =90`

`\therefore x =(90)/(6)`

`\therefore x =15`

In
`\odot\: A, \: \angle PRQ` is inscribed in a semicircle.

`\therefore m\angle PRQ =90\degree`

`\therefore (4z-10)\degree =90\degree`

`\therefore 4z-10 =90`

`\therefore 4z =100`

`\therefore z =(100)/(4)`

`\therefore z =25`