#### If RU ≅ TU = 70 and \angle TSU = 56°, what is \angle RST?

Anonymous

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Krishna

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Step 1: Recall the Angle Bisector Theorem

NOTE: The **Angle Bisector Theorem** states that a point is on the bisector of an angle if and only if it is in the interior of the

angle and is equidistant from the sides of the angle.

Step 2: Note down the given values

Step 3: Make sure that the given line (SU) is the bisector or not

NOTE: A point is equidistant from two lines if it is the same distance from

them. The distance between a point and a line is the length of the segment

perpendicular to the line from the point.

EXAMPLE: RU = TU = 70

Step 4: Conclude that the bisector bisects the angle into two equal parts

EXAMPLE: \angle TSU = \angle RSU = 56 \degree