1 Answer

Jinwei · Answer 1 · 2022-02-06T15:36:20+0000

Answer:

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

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:

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

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

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

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