TahjakaStarBoyidn
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In the diagram below. m MRT = 54".
M
S
Q is a point on the bisector of ZTRS. If mZQRS = 12, find mZMRS.
mMRS
degrees

Sagot :

Abidemiokinidn

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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