Question

Need help to solve please

Answer 1

`\displaystyle m\angle RTU=73^\circ`

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:

`\displaystyle x=(p+q)/(2)`

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:

`\displaystyle m\angle RTU=(68^\circ+78^\circ)/(2)`

`\displaystyle m\angle RTU=(146^\circ)/(2)`

`\boxed{\displaystyle m\angle RTU=73^\circ}`