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ladessa [460]
3 years ago
7

If Ray QS bisects angle PQR , m of angle PQS=7x-6 and m of angle SQR =4x+15,find m of angle PQT

Mathematics
1 answer:
lys-0071 [83]3 years ago
8 0

"Bisect" is a mathematical term which means to divide into two equal parts. We can bisect angles, lines, and more. The line that divides is called the "bisector". 
sample problem:

<span> If Ray QS bisects angle PQR , m of angle PQS=7x-6 and m of angle SQR =4x+15,find m of angle PQT.

Since it is mentioned that ray QS bisects the angle PQR, it is understood that the m of angle of PQT is </span><span><span>4x+15. It is because as metioned earlier, to bisect angles or lines, it means dividing into 2 equal parts, thus, bisect equal measurements of angles.

</span></span>






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Answer:

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Step-by-step explanation:

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QveST [7]
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ch4aika [34]

Answer:

Therefore a= 90°,b=54°, x=54°, y= 162°

Step-by-step explanation:

a=90°

a:b=5:3

5+3= 8

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A is the sum of the angles of a and b divided in the ratio 5:3

5A/8 = 90

cross multiply

5A= 90 X8 = 720

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b= 3/8 x 144 = 3x144/8 = 432/8 = 54

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b= 54

x:y is in the ratio of 1:3

the Sum of angles in a Quadrilateral is 360°

if the sum of a and b is 144°

then the reamining angles is 360-144= 216°

then x:y=1:3

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x= 1/4 x 216= 54°

y= 3/4 x 216= 162°

Therefore a= 90°,b=54°, x=54°, y= 162°

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Hope this helps!
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3 years ago
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