Question

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

Answer 1

Answer:

x = 15

z = 25

Step-by-step explanation:

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

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

$\therefore 6x\degree =90\degree$

$\therefore 6x =90$

$\therefore x =\frac{90}{6}$

$\therefore x =15$

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

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

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

$\therefore 4z-10 =90$

$\therefore 4z =100$

$\therefore z =\frac{100}{4}$

$\therefore z =25$