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Question

A quadrilateral has three acute angles, each measuring 75°. Find the measure of the fourth angle.


A

225

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B

100

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C

140

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D

135

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Solution

The correct option is D

135


Let the fourth angle be x.

We know that the sum of all the angles of a quadrilateral is 360.

Any angle measuring greater than 0 and less than 90 is an acute angle.

75+75+75+x=360

225+x=360

x=360225

x=135

Thus, the fourth angle is 135.


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