Question

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

Answer 1

Answer:

$\huge\boxed{x=65}$

Step-by-step explanation:

Look at the picture.

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

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

$x^o=540^o-(90^o+60^o+240^o+85^o)=540^o-475^o=65^o$