Question

Find the missing angles:




X=_________
Y=_________

Answer 1

X= 72

y= 92

Explanation:

108 + x = 180

x = 180 - 108

x = 72°

y + 88 = 180

y = 180 - 88

y = 92

Answer 2

See below!

Explanation:

Statement:

• When a quadrilateral (shape with 4 sides) in inscribed in a circle, the opposite angles of the quadrilateral add up to 180 degrees.

Solution:

From the statement, we get:

108 + x = 180

Subtract 108 to both sides

x = 180 - 108

x = 72°

Also,

y + 88 = 180

Subtract 88 to both sides

y = 180 - 88

y = 92°

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