Answered

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Which angle has a measure equal to the sum of m

D Q RE S С Which Angle Has A Measure Equal To The Sum Of M class=

Sagot :

Answer:

I think it's <QSR but I am not sure

Answer:

[tex]\angle RSC[/tex]

Step-by-step explanation:

Since the sum of all angles in a triangle is [tex]180^\circ[/tex], we can write [tex]\angle QSR[/tex] as [tex]180^\circ-(\angle SQR+\angle QRS)[/tex]. By the linear pair postulate, [tex]\angle RSC=180^\circ-\angle QSR[/tex].

Substituting, we have

[tex]\angle RSC=180^\circ-\angle QSR[/tex]

[tex]=180^\circ-(180^\circ-(\angle SQR+\angle QRS))[/tex]

[tex]=\angle SQR + \angle QRS[/tex],

as desired.

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