Question

In the figure below, the lines AB and PQ are parallel and the line XY cuts them at Cand R. Find all the pairs of co- interior and co-exterior angles and write down their names and measures. A 60° X С R Y B Co-interior angl es Co-exterior angles answer
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Answer 1

Explanation:

hlo mate here's your answer

ANSWER:

As the sum of all interior angles of a triangle is 180º, therefore, for ΔXYZ,

∠X + ∠XYZ + ∠XZY = 180º

62º + 54º + ∠XZY = 180º

∠XZY = 180º − 116º

∠XZY = 64º

∠OZY = = 32º (OZ is the angle bisector of ∠XZY)

Similarly, ∠OYZ = = 27º

Using angle sum property for ΔOYZ, we obtain

∠OYZ + ∠YOZ + ∠OZY = 180º

27º + ∠YOZ + 32º = 180º

∠YOZ = 180º − 59º

∠YOZ = 121º

I hope its help you mark as brainlist

Answer 2

First of all draw a line segment AB=6cm

2. Take a point P (outside the line) and draw an arc in such a way that it cuts AB into two points C and D. Again by taking C & D as centre take suitable arc and draw two arc which intersect at Q. Join PQ.

Hence, PQ is the required perpendicular on AB from P.