Quadrilateral ABCD is cyclic, angle A =(5x_13) angle C= (4x+4) find x
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ɪɴ ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ ABCD,
ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,
sum of opposite angles in a cyclic quadrilateral is 180°
<A + <C = 180°
(5x-13) + (4x+4) = 180°
5x - 13 + 4x + 4 = 180°
9x - 9 = 180°
9x = 180° + 9
9x = 189°
x = 189° / 9
x = 21
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