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