Taranidevi12idn
Answered

Find answers to your questions and expand your knowledge with IDNLearn.com. Discover prompt and accurate answers from our community of experienced professionals.

Solve X.
Do help need it quickly, will rate as the brainliest!​

Solve XDo Help Need It Quickly Will Rate As The Brainliest class=

Sagot :

Gmanyidn

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
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.