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pav-90 [236]
3 years ago
6

Need help to solve please

Mathematics
1 answer:
attashe74 [19]3 years ago
3 0

Answer:

\displaystyle m\angle RTU=73^\circ

Step-by-step explanation:

<u>Interior Angle of a Circle</u>

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}

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