In triangle POR, Angle Q = 25° and angle R=65". Then find the value of angle P
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Answer:
By using the theorem,If two sides of a triangle are equal then the opposite angles to the sides are equal.
⇒ If PQ=PR then ∠Q=∠R
In △PQR,
⇒∠P+∠Q+∠R=180
∘
⇒∠P+∠Q+∠R=180
∘
since ∠Q=∠R=65
∘
(given)
⇒∠P+2×65
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=180
∘
⇒∠P=180
∘
−130
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=50
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∴∠P=50
∘
Step-by-step explanation:
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sum of the angles of a triangle is 180
so,
angleQ + angle R +angle P = 180
25+65+P=180
90+P = 180
P = 180-90
P=90
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