find x and y and prove it
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Step-by-step explanation:
down left and down right
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Answer:
x=50°, y=80°
Step-by-step explanation:
Take the point as T which have 90° in it.
To find x:
In triangle QTR
Angle TQR+ angle QRT+ angle QTR= 180°{Sum of angles in a triangle add up to 180°}
40°+ QRT+ 90°=180°
x=180°-(90°+40°)
x=180°-130°
x=50°
In triangle PQR
Angle PQR+ angle PRQ+ angle QPR=180°{Reason stated above}
QPS+30°+50°+40°=180°
QPS=180°-(50°+30°+40°)
QPS=180°-120°
QPS=60°
Now to find y:
In triangle PSQ
Angle PQS+angle QPS+angle PSQ=180°{same reason}
40°+60°+y=180°
y=180°-(60°+40°)
y=180°-100°
y=80°
Thanks..
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