Question

a. Through a point P inside a circle, chords \overline{MN} and \overline{ST} are drawn. 1. If \stackrel\frown{SM} = 30^\circ and \stackrel\frown{NT} = 54^\circ, find \angle SPM. 2. If \stackrel\frown{SM} = 55^\circ and \angle SPM = 63^\circ, find \stackrel\frown{NT} 3. If \angle NPT = 36^\circ and \stackrel\frown{NT} = 40^\circ, find \stackrel\frown{SM}. 4. If \stackrel\frown{SN} = 165^\circ and \stackrel\frown{MT} = 87^\circ, find \angle MPT

          a. Through a point P inside a circle, chords \overline{MN} and \overline{ST} are drawn.
1. If \stackrel\frown{SM} = 30^\circ and \stackrel\frown{NT} = 54^\circ, find \angle SPM.
2. If \stackrel\frown{SM} = 55^\circ and \angle SPM = 63^\circ, find \stackrel\frown{NT}
3. If \angle NPT = 36^\circ and \stackrel\frown{NT} = 40^\circ, find \stackrel\frown{SM}.
4. If \stackrel\frown{SN} = 165^\circ and \stackrel\frown{MT} = 87^\circ, find \angle MPT

a. Through a point P inside a circle, chords MN and ST are drawn.
1. If ⌢SM = 30^∘and ⌢NT = 54^∘, find ∠SPM.
2. If ⌢SM = 55^∘and ∠SPM = 63^∘, find ⌢NT
3. If ∠NPT = 36^∘and ⌢NT = 40^∘, find ⌢SM.
4. If ⌢SN = 165^∘and ⌢MT = 87^∘, find ∠MPT

Added by Francisco S.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

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Solved by Expert Natalie Belcher

Step 1

Through point P inside a circle, chords MN and ST are drawn. If SM = 300 and NT = 54", find LSPM. To find LSPM, we need to find the angle at point P that is formed by the chords MN and ST. This angle is also known as the central angle. Since SM = 300 and NT = Show more…

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Through point P inside a circle, chords MN and ST are drawn. If SM = 300 and NT = 54", find LSPM. If SM = 55" and LSPM = 630, find NT. If LNPT = 36" and NT = 404, find SM. If SN = 1650 and MT = 870, find LMPT.