Question

D Q
RE
S
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Which angle has a measure equal to the sum of m

Answer 1

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

Answer 2

`\angle RSC`

Explanation:

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

Substituting, we have

`\angle RSC=180^\circ-\angle QSR`

`=180^\circ-(180^\circ-(\angle SQR+\angle QRS))`

`=\angle SQR + \angle QRS`,

as desired.