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Find the value of x and y

Find the value of x and y-example-1

2 Answers

2 votes

Answer:

x=45 degrees

y=45 degrees

Explanation:

User Crg
by
5.8k points
6 votes

Answer: y = 50; x = 34

ABCD is a quadrilateral inscribed in the circle

=> ∠ABD = ∠ACD

⇔ x = 34°

and ∠ADB = ∠ACB

we also have:

∠DCE + ∠ DCB = 180°

⇔ 96° + x + ∠ACB = 180°

⇔ ∠ACB = 180 - 96 - x = 180 - 96 - 34 = 50

because ∠ADB = ∠ACB => y = 50°

Explanation:

User Andriy Sholokh
by
5.1k points