![Ladarius566](/avatars/22640.jpg)
Ladarius566
12.08.2020 •
Mathematics
Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U
Solved
Show answers
More tips
- H Health and Medicine 10 Ways to Cleanse Your Colon and Improve Your Health...
- D Dating, Love, Relationships How to Overcome Jealousy: Tips and Tricks...
- H Health and Medicine Angina: Causes, Symptoms, and Treatment...
- C Computers and Internet How to Learn to Type Fast?...
- F Food and Cooking Delight for Gourmets: How to Prepare Liver Pate...
- S Style and Beauty How to braid friendship bracelets?...
- H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
- F Food and Cooking Which Calamari Salad is the Most Delicious?...
- S Society and Politics 10 Tips for Boosting Your Self-Esteem...
- F Food and Cooking The Most Delicious and Simple Fish in Batter Recipe...
Answers on questions: Mathematics
- M Mathematics Question 1 of 5 Flag Seven X Find the area of the figure shown below and choose the appropriate result. em A 39 cm B 10 cm C30 cm...
- M Mathematics 92(23+36)= A. 5,148 B. 5,248 C. 5,418 D. 5,428...
- M Mathematics What is the volume of cube b...
- E English Plz answer this if u do this I will PayPal u 5 dollars plzzzzzzzz...
- M Mathematics #1-4 You don’t have to do all of them. Btw it’s geometry...
Ответ:
m∠U = 103° and m∠TRS = 6°
Step-by-step explanation:
In the given circle O,
Since, RS║VU, and VR is a transverse,
Therefor, m∠V + m∠R = 180° [Consecutive interior angles]
m∠R + 103° = 180° [m∠R = 103° given]
m∠R = 180° - 103°
m∠R = 77°
Since m∠R = m∠VRT + m∠TRS
77° = 71° + m∠TRS
m∠TRS = 77° - 71° = 6°
Quadrilateral RTUV is a cyclic quadrilateral.
Therefore, m∠U + m∠R = 180°
m∠U + 77° = 180°
m∠U = 180° - 77° = 103°
Ответ: