Answer:
[tex]\displaystyle m\angle RTU=73^\circ[/tex]
Step-by-step explanation:
Interior Angle of a Circle
An interior angle of a circle is formed at the intersection of two lines that intersect inside a circle.
Lines AC and BD of the figure attached below intersect forming arcs p and q. The measure of the interior angle x is:
[tex]\displaystyle x=\frac{p+q}{2}[/tex]
The question includes the drawing of a circle with lines US and RV intersecting at point T. The measure of the interior angle RTU is:
[tex]\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}[/tex]
[tex]\displaystyle m\angle RTU=\frac{146^\circ}{2}[/tex]
[tex]\boxed{\displaystyle m\angle RTU=73^\circ}[/tex]
