SecretStupid
SecretStupid SecretStupid
  • 26-11-2017
  • Mathematics
contestada

A conjecture and the flowchart proof used to prove the conjecture are shown.
Given: m∠QRS=76°
Prove: △PQR is an obtuse triangle.

A conjecture and the flowchart proof used to prove the conjecture are shown Given mQRS76 Prove PQR is an obtuse triangle class=
A conjecture and the flowchart proof used to prove the conjecture are shown Given mQRS76 Prove PQR is an obtuse triangle class=

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JeanaShupp
JeanaShupp JeanaShupp
  • 13-11-2018

Answer:-

Given: m∠QRS=76°

Prove: △PQR is an obtuse triangle.

Proof:- ∠ORS=76° [given]

∠PRQ and ∠QRS are supplementary . [Linear pair postulate.]

m∠PRQ+76°=180° [Substitution property of equality]

m∠PRQ=104°  [Subtraction property of equality]

∠PRQ is an obtuse angle [Definition of obtuse angle]

ΔPQR is an obtuse triangle.[Definition of obtuse triangle]


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