taranidevi12
Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Find X value.
Will rate brainliest for the right ans​

Find X ValueWill Rate Brainliest For The Right Ans class=

Sagot :

gmany

Answer:

[tex]\huge\boxed{x=65}[/tex]

Step-by-step explanation:

Look at the picture.

[tex]m\angle VUP=180^o-2\cdot60^o=180^o-120^o=\boxed{60^o}\\\\m\angle UPQ=360^o-2\cdot60^o=360^o-120^o=\boxed{240^o}\\\\m\angle QRM=180^o-2\cdot60^o=180^o-120^o=60^o\\\\m\angle RMQ=180^o-135^o=45^o\\\\in\ \triangle QRM:\ m\angle MQR=180^o-(60^o+45^o)=180^o-105^o=75^o\\\\m\angle PQW=360^o-(2\cdot60^o+75^o+80^o)=360^o-(120^o+155^o)\\\\=360^o-275^o=\boxed{85^o}\\\\m\angle UVW=\boxed{90^o}[/tex]

VWQPU is the pentagon. The sum of interior angles in a pentagon is equal 540°. Therefore:

[tex]x^o=540^o-(90^o+60^o+240^o+85^o)=540^o-475^o=65^o[/tex]

View image gmany
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.