Question

Need help to solve please

Answer 1

Answer:

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

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:

$\displaystyle x=\frac{p+q}{2}$

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:

$\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}$

$\displaystyle m\angle RTU=\frac{146^\circ}{2}$

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