3. Inequalities in One Triangle
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Find m∠ MSR using the fact that ∠ VSR and ∠ MSR form a linear pair.
SM< MR
In order to determine the relationship between SM and MR, we can use Theorem 5.10 about Angle-Side Relationships in Triangles.
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Angle-Side Relationships in Triangles |
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If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle. |
m∠ VSM= 110^(∘)
LHS-110^(∘)=RHS-110^(∘)
Because ∠ MSR is greater than ∠ MRS, we know that MR is longer than SM. SM< MR