Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

find ∠OQR ∠RST ∠TRQ
∠ROQ = 48

Find OQR RST TRQ ROQ 48 class=

Sagot :

mhanifa

Answer:

Given

  • ∠ROQ = 48°

Find

  • ∠OQR, ∠RST,  ∠TRQ

Solution

We see that SR is a diameter, therefore Δ SRT is right triangle with ∠STR = 90°

∠ROQ, ∠RST and ∠TRQ all intercept the same arc RT

∠ROQ is twice the ∠RST and ∠TRQ as the central angle:

  • ∠RST = ∠ROQ = 2*∠TRQ ⇒ ∠RST = ∠TRQ = 48°/ 2 = 24°

PQ is tangent to circle, therefore:

  • PQ⊥SR ⇒ ∠OQR = 90°

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.