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saul85 [17]
3 years ago
14

Quadrilateral abcd is inscribed in a circle. M angle C is 64 degrees, M angle B is (6x+4) degrees, M angle C is (9x-1) degrees.

What is the measure of angle D?
Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0
We are given that angle C is (9x - 1) degrees, and that this is equal to 64 degrees. Therefore,
9x - 1 = 64
9x = 65
x = 65/9
This means that angle B is (6x + 4) = 6(65/9) + 4 = 47 and 1/3 degrees.
In a cyclic quadrilateral, opposite angles add up to 180 degrees, so angle D + angle B = 180
angle D = 180 - angle B
angle D = 180 - (47 1/3)
angle D = 132 2/3 degrees
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Which one is it need help​
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<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ To understand this, you need to know one rule:

when indices are separated by parenthesis, they multiply

As per this rule, the correct option would be C

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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