Lisadurrett4idn
Answered

Discover a world of knowledge and community-driven answers at IDNLearn.com today. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

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]

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.