Question

find the following value find the value of x ​

Answer 1

Answer:

In quadrilateral PQRS

Angle P+Angle Q+Angle QRS+ Angle S=360°

(Angke sum Property of a quadrilateral)

135+85+angle QRS+45=360

Angle QRS + 265=360

Angle Qrs =360-265

Angle QRS=95

Anglw QRS+Angle Srt=180

(Linear pair axiom)

95+x=180

x=180-95

x=85

Answer 2

Answer:

X = 85

Explanation:

We know that sum of interior angles of a quadrilateral is 360 degrees .

<P + <Q + <S + < SRQ = 360

135 + 85 + 45 + <SRQ = 360

265 + <SRQ = 360

<SRQ = 360 - 265

<SRQ = 95

Now, QRT is a straight line and is forming a linear pair of angles .

Therefore,

<SRQ + <X = 180

95 + <X = 180

< X = 180 - 95

<X = 85

Hope it helps