Question

in fig x-y=67
find z
pleas solvee​

Answer 1

Answer:

Z = 46°

Step-by-step explanation:

According to the Inscribed Triangle Theorem, X = 2Y

Since, X - Y = 67° --- (I)

Therefore,

Replacing X by 2Y

2Y - Y = 67°

Y = 67°

Putting value of Y in (I)

X = 67 + 67

X = 134°

Now Since, All the angles of a quadrilateral = 360°

Therefore, 134 + 90 + 90 + Z = 360°

Z = 46°

Answer 2

Answer:

z= 46°

Step-by-step explanation:

here

given that

x-y= 67° ----eq(i)

here => x+z+90°+90° =360 ( sum of angles of quadrilateral)

=> x+z = 180°---- eq(ii)

here given that

x=2y ( property of circle ).

Putting the value of x in eq i

y=67°

then x= 134°

then z=180°-x

z= 46°