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2 years ago

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

Mathematics

1 answer:

Mama L [17]2 years ago

3 0

Answer:

m<PQR = 80°

Step-by-step explanation:

<u>Points to remember</u>

Sum angles in a linear pair is 180

<u>To find the value of x</u>

It is given that, angle PQR and angle RQS are linear pairs, and

m< PQR =5x+5 and m<RQS =11x-65

m<PQR + m<RQS = 180

5x + 5 + 11x - 65 = 180

16x -60 = 180

16x = 180 + 60

16x = 240

x = 15

<u>To find the value of angle PQR</u>

m<PQR = 5x + 5

= 5*15 + 5

= 75 + 5 = 80

Therefore m<PQR = 80°

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