Question

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Answer 1

Answer

In given figure,in triangle PÒQ,

angle Q + angle Ò+ angle QPÒ = 180° ( angle sum property of triangle)

35°+45°+ angle QPÒ = 180°

angle QPÒ = 110°

here, MÒ is a straight line So,angle DPA+ angle QPÒ= 180°

So,angle DPA+ angle QPÒ= 180°

angle DPA = 80°

Corresponding angle of ray P and ray M are equal .so ray P and ray M are parallel to each other

Answer 2

In PQÓ

Angle ÓPQ=180-(35+45)

=180-80

=100

angle DPQ+ÓPQ=180

angle DPQ+100=180

Angle DPQ=80

HERE,angleBOP=angleDPQ=80°

;.{CORRESPONDING ANGLES ARE EQUAL}

SO,P//M

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