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Sagot :
Answer:
m∠P = 65°
Step-by-step explanation:
An Isosceles triangle has two sides of equal length and two interior angles of equal measure.
Sum of interior angles of a triangle = 180°
If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O
⇒ m∠Q + m∠P + m∠O = 180
⇒ 50 + m∠P + m∠O = 180
⇒ m∠P + m∠O = 130
As m∠P ≅ m∠O:
⇒ m∠P = 130 ÷ 2 = 65°
m<P and m<O are equal as it's isosceles traingle
- Let both be x
[tex]\\ \rm\hookrightarrow 2x+50=180[/tex]
[tex]\\ \rm\hookrightarrow 2x=130[/tex]
[tex]\\ \rm\hookrightarrow x=65[/tex]
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