Question

solve this
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Answer 1

Answer:

x = z = 74 degrees and y = 41 degrees

Step-by-step explanation:

Since AD || BC,

Alternate angles are equal, i.e.,

x = z  ---> (1)

Sum of angles of a triangle is 180 degrees.

Therefore, in triangle ABC,

60 degrees + 46 degrees + z = 180 degrees

106 degrees + z = 180 degrees

z = 180 degrees - 106 degrees

z = 74 degrees = x   [ From (1) ]

In triangle ADC,

65 degrees + y + z = 180 degrees

65 degrees + 74 degrees + y = 180 degrees

139 degrees + y = 180 degrees

y = 180 degrees - 139 degrees

y = 41 degrees

So,  x = z = 74 degrees  and  y = 41 degrees

Hope it is useful...