Question

find the measure of angle X and angle y in the given figure​

Answer 1

Answer:

y = 135

x = 74

Step-by-step explanation:

y + 45 = 180 ( LP )

y = 180 - 45

y = 135

45 + 60 + x = 180

106 + x = 180

x = 180 -106

x = 74

hope this may be help you!

Answer 2

Answer:

X = 75°

Y = 135°

Step-by-step explanation:

It's clearly visible that y and 45 lies on a straight line.

And angle on a straight line is 180°

Therefore,

Y + 45 = 180

Y= 180 - 45

Y = 135°

It's a triangle with one side extended

And for such triangles a theorem states that

Exterior angle = sum of interior opposite angles

Here, Exterior angle is y which as we found out earlier is 135°

And the interior opposite angles are x and 60

Therefore ,

X + 60 = 135

X = 135 - 60

X = 75°

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Hope this helps !