Question

What is the value of x? x = 23   x = 35 x = 58 x = 93

Answer 1

If you add the given angles they equal 93, which is the only answer that is able to be obtuse. Therefore the answer is 93. 

Answer 2

we know that

m∠SQR+x=
`180` -------> by supplementary angles

so

m∠SQR=
`180-x`

The sum of the internal angles of a triangle is equal to
`180` degrees

m∠SQR+m∠QSR+m∠SRQ=
`180`

substitute the values in the formula

m∠SQR+
`35`+
`58`=
`180`

m∠SQR=
`87` degrees

Find the value of x

m∠SQR=
`180-x`

x=
`180`-m∠SQR

x=
`180-87`

x=
`93` degrees

therefore

the answer is

the value of x is
`93` degrees