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please hurry find the measure of P

Please Hurry Find The Measure Of P class=

Sagot :

Semsee45idn

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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