If ray qs bisects angle pqt, measure angle sqt = (8x-25), measure angle pqt= (9x+34), and measure angle sqr=112, find each measure

m∠SQT = 142° ,

m∠PQS = m∠SQT = 71°

m∠TQR = 41°

Step-by-step explanation:

For better understanding of the solution, see the figure which is attached below :

Given : Ray QS bisects the angle PQT

⇒ m∠PQS = m∠SQT

Now, m∠PQT = m∠PQS + m∠SQT

9·x + 34 = 2 × m∠SQT

4.5·x + 17 = 8·x - 25

⇒ 3.5·x = 42

⇒ x = 12

Therefore, m∠SQT = 142° ,

m∠PQS = m∠SQT = 71°

Now, m∠SQR = 112°

⇒ m∠TQR = m∠SQR - m∠SQT

                  = 112° - 71°

                  = 41°

step-by-step explanation:

one of the most important purposes of surface treatment is to alter surface properties according to the requirement of specific applications. for example, hydrophobic coating has been utilized on windshield and eyeglasses. gold atom monolayer on substrate has become a popular surface bioconjugation strategy.  

answer: 0.1,0.85

step-by-step explanation: