If PQR and RQS form a linear pair and mPQR = 5x+5 and mRQS = 11x-65 then mPQR=?
1 Answer
Feb 15, 2018
Explanation:
When two angles form a linear pair, that means those two angles added together equal
So if
-
Set up equation:
manglePQR + mangleRQS = 180
(5x+5) + (11x-65) = 180 -
Combine
"Likes" :
16x-60 = 180
(the process:5x+11x = 16x ;5+ (-65)= -60 ) -
Solve:
16x-60=180
=>16x= 240
=>x= 15
(the process:60+180= 240 ;240divide16 = 15 ) -
Plug
x back intoanglePQR 's expression:5x+5
5(15) + 5 = 80