Question

find x and y in the following figure.
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Answer 1

Step-by-step explanation:

x will be 35 and y will be 45

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Answer 2

Answer:

x= 35°

y= 45°

Step-by-step explanation:

∠ACD + ∠ACB = 180°

Now, ∠ACD= 100°

So, 100° + ∠ACB = 180°

∠ACB= 180°-100°= 80°

Since we know that sum of the angles of a triangle= 180°

So, in ΔABC,

65°+80°+x= 180°

Therefore, x= 180°- (65°+80°)

x= 180°- 145°

x= 35°

now, ∠ CAD= x = 35°
So, in Δ ACD,

35°+100°+y= 180°

y= 180°-(35°+100°)

y= 180°-135°

y= 45°