lisadurrett4
Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

please hurry find the measure of P

Please Hurry Find The Measure Of P class=

Sagot :

semsee45

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]

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.