Given:
Measure of arc XZ = 32°
To find:
The measure of XYZ
Solution:
The measure of inscribed angle is half of the measure of the intercepted arc.
[tex]$\Rightarrow m\angle XYZ = \frac{1}{2}m(ar XZ)[/tex]
[tex]$\Rightarrow 32^\circ = \frac{1}{2}m(ar XZ)[/tex]
Multiply by 2 on both sides.
[tex]$\Rightarrow 2\times 32^\circ =2\times \frac{1}{2}m(ar XZ)[/tex]
[tex]$\Rightarrow 64^\circ =m(ar XZ)[/tex]
The measure of angle XYZ is 64°.
