8x+20=3x+45
5x+20=45
5x=25
x=5
The given angles mean that line QT divides angle PQS.
<em>The measure of </em>
<em> is </em>
<em />
Given that:
![\angle PQS = 3x + 13](https://tex.z-dn.net/?f=%5Cangle%20PQS%20%3D%203x%20%2B%2013)
![\angle SQT = 6x -2](https://tex.z-dn.net/?f=%5Cangle%20SQT%20%3D%206x%20-2)
Since QT divides
;
The equation to calculate
is:
![\angle PQT = \angle PQS - \angle SQT](https://tex.z-dn.net/?f=%5Cangle%20PQT%20%3D%20%5Cangle%20PQS%20-%20%5Cangle%20SQT)
This gives
![\angle PQT = 3x + 13- (6x -2)](https://tex.z-dn.net/?f=%5Cangle%20PQT%20%3D%203x%20%2B%2013-%20%286x%20-2%29)
Open bracket
![\angle PQT = 3x + 13- 6x +2](https://tex.z-dn.net/?f=%5Cangle%20PQT%20%3D%203x%20%2B%2013-%206x%20%2B2)
Collect like terms
![\angle PQT = 13+2- 6x + 3x](https://tex.z-dn.net/?f=%5Cangle%20PQT%20%3D%2013%2B2-%206x%20%2B%203x)
![\angle PQT = 15- 3x](https://tex.z-dn.net/?f=%5Cangle%20PQT%20%3D%2015-%20%203x)
Hence, the measure of
is ![15- 3x](https://tex.z-dn.net/?f=15-%20%203x)
Read more about angles at:
brainly.com/question/13954458
Answer:
239 Feet
Step-by-step explanation:
Answer:
answer for angle acb is 180 -90=2x and is 45
sory if I am wrong