please help me to solve this question
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Answer:
67 = y
( corresponding angles)
90+ x + y = 180
( sum of angles of triangle is 180)
90+67+x=180
157 + x =180
x = 180-157
x= 23
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Step-by-step explanation:
As the lines are parallel
angle 1. = y .........alternate interior angles theorem
therefore y = 67 degrees .......... equation 1
So now
in right angled triangle,
90 degrees + y + x = 180 degrees......... by the angle sum property of triangle
( x and y are angles)
substituting the value of Y from the above equation 1
90 + 67 + x = 180 degrees
157 + x = 180
taking 157 to L. H. S becomes - 157
SO,
x = 180 - 157
therefore x = 23 degrees
Hence the angles are found
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