If QS−→bisects ∠PQT. If ∡SQT = (8x−25)° and ∡PQT = (9x+34)°find the measure of ∠PQT

Answer 1

Since QS bisects ∠PQT, we can set ∡SQT equal to ∡PQT.

So, (8x−25) = (9x+34)

Simplifying the equation, we get:

8x − 25 = 9x + 34

Subtracting 8x from both sides, we get:

-25 = x + 34

Subtracting 34 from both sides, we get:

-59 = x

Thus, the measure of ∠PQT is:

∡PQT = 9x + 34
= 9(-59) + 34
= -531 + 34
= -497

Therefore, the measure of ∠PQT is -497 degrees.