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Tamara is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180o. Line m is parallel to line n.
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OpenStudy (anonymous):
OpenStudy (anonymous):
@mathmath333 @StudyGurl14 @kropot72 @myininaya
OpenStudy (anonymous):
@sleepyjess @satellite73 please help ):
OpenStudy (mathmath333):
|dw:1414532518373:dw|
OpenStudy (mathmath333):
we need to use the property of alternate interior angles here
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OpenStudy (mathmath333):
|dw:1414532623733:dw|
OpenStudy (anonymous):
so its opposite across ?
OpenStudy (anonymous):
Angle PRQ measures 30 ????
OpenStudy (mathmath333):
in the above diagram if two lines are parallel then
\(\angle x=\angle x_1\\
and\\
\angle y=\angle y_1\\~\\
\text{due to propery of alternate interior angles}\)
OpenStudy (mathmath333):
|dw:1414532893214:dw|
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OpenStudy (anonymous):
so I was right?
OpenStudy (mathmath333):
\(\text{thus in the diagram }\\
\angle a=30^{\circ}\\
and\\
\angle b=15^{\circ}\)
OpenStudy (mathmath333):
no \(\angle PRQ=15^{\circ}\)
OpenStudy (anonymous):
Angle PRQ measures 30
Angle PRQ measures 15
Angle PQR measures 15
Angle PQR measures 45
I'm really confused........ D isn't it. and that I know for sure