iillenium
Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Quadrilateral TUVW is inscribed in the circle. Find m∠T, m∠U, m∠V, m∠W.

Quadrilateral TUVW Is Inscribed In The Circle Find MT MU MV MW class=

Sagot :

akposevictor

Answer:

m∠T = 68°

m∠U = 95°

m∠V = 112°

m∠W = 85°

Step-by-step explanation:

m<V = (14z - 7)°

m<W = 10z°

m<T = 8z°

Recall that the sum of the opposite angles of a cyclic quadrilateral equals 180°.

Therefore:

(14z - 7)° + 8z° = 180°

Find z

14z - 7 + 8z = 180

22z - 7 = 180

22z = 180 + 7

22z = 187

22z/22 = 187/22

z = 8.5

Plug in the value of z in each case

✅m<V = (14z - 7)° = 14*8.5 - 7 = 112°

✅m<W = 10z° = 10*8.5 = 85°

✅m<T = 8z° = 8*8.5 = 68°

✅m<U = 180 - m<W

m<U = 180 - 85 = 95°

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.