Question

In the figure, seg SK is a diameter. Write the measures of the following angles:



(1) $m\angle \mathrm{STK}=\boxed{}$
(2) $m\angle \mathrm{SMK}=\boxed{}$

Answer 1

(1) Since SK is the diameter, $\angle STK$ is the angle in the semi-circular region.
We know that angle in a semi-circular region is a right angle.
∴ m $\angle STK$ =$\boxed{90°}$

(2) Since SK is the diameter, $\angle SMK$ is the angle in the semi-circular region.
We know that angle in a semi-circular region is a right angle.
∴ m $\angle SMK$ = $\boxed{90°}$