The measures of angle <MRS is 78degrees
The line that bisects an angle divides the angle into two equal parts;
From the given diagram, the expression is true;
<MRT + <TRS = <MRS
Given the following parameters
<MRT = 54degrees
- If Q is a point on the bisector of <TRS, then <TRQ = <QRS
- Since <QRS = 12 degrees, hence <TRS = 12.
- <TRS = <TRQ + <QRS = 24degrees
Get the measure of <MRS
<MRS = <MRT + <TRS
<MRS = 54 + 24
<MRS = 78dgrees
Hence the measure of angle <MRS is 78degrees
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