1 answer

If PQR and RQS form a linear pair and mPQR = 5x+5 and mRQS = 11x-65 then mPQR=?

Question:

If PQR and RQS form a linear pair and mPQR = 5x+5 and mRQS = 11x-65 then mPQR=?

Answers

#anglePQR=80^@#

Explanation:

#"a linear pair indicates their sum "=180^@#

#rArranglePQR+angleRQS=180^@#

#rArr5x+5+11x-65=180larrcolor(blue)"solve for x"#

#rArr16x-60=180#

#"add 60 to both sides and divide by 16"#

#rArr16x=180+60=240#

#rArrx=240/16=15#

#rArranglePQR=5x+5=(5xx15)+5=80^@#

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