The values of x and y in the figure are measure of angles, then x + y is equal to
Attachments:
Answers
Answered by
11
Since, ABCD is a cyclic quadrilateral.
∠B + ∠D = 180°
And,
∠A + ∠C = 180°
➠ x + 10 + 5y + 5 = 180°
x + 5y = 165° .... (i)
And,
2x + 4 + 4y - 4 = 180°
➠ 2x + 4y = 180° ...(ii)
Solving equation (i) and (ii), we get
x = 40° and y = 25°
Therefore, x + y = 40° + 25° = 65°
Answered by
2
Answer:
ABCD is a cyclic quadrilateral.
∠B + ∠D = 180°
And,
∠A + ∠C = 180°
➠ x + 10 + 5y + 5 = 180°
x + 5y = 165° .... (i)
And,
2x + 4 + 4y - 4 = 180°
➠ 2x + 4y = 180° ...(ii)
Solving equation (i) and (ii), we get
x = 40° and y = 25°
Therefore, x + y = 40° + 25° = 65°
...
hope it helps uhh mate
Similar questions