What is the question? I don't understand please explain?
Answer:
m∠BCD = 140°
Step-by-step explanation:
ABCD is cyclic quadrilateral. A property of cyclic quadrilateral states that the opposite angles of it sum up to 180°. Here:
m∠A + m∠C =180° and m∠B + m∠D = 180°
So, m∠A + m∠C =180°
m∠A = 40° (given in the question)
40° + m∠C = 180°
m∠C = 180° - 40° = 140°
∴m∠C = m∠BCD = 140°
Consider,

. Let's say

then the problem reduces to

. (Do you understand this step?)
So then replacing a again with our definition we get,

.
6a: 11x+9
6b: 5y+14
6c: -3c-10
6d: 15x+10y
6e: -2n+13n
6f: 5w-5z
6g: 19x+8y+9
6h: 11a+4b-5
hope this helps and is correct!!
The value of y from the given trig expression is pi/3 rad
<h3>Trigonometry identity</h3>
These identities are expressed in terms of sine, cosine and tangent
Given the expression

Expand sin(x+y)
sin(x+y) = sinxcosy + cosxsiny
Compare both equations
cosy = 1/2
y = arccos(1/2)
y = 60 degrees
y = pi/3 rad
Hence the value of y from the given trig expression is pi/3 rad
Learn more on trig function here: brainly.com/question/24349828
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