A quadrilateral has three acute angles, each measuring 75°.

Question:

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

Solution:

Sum of the four angles of a quadrilateral is $360^{\circ}$.

If the unknown angle is $x^{\circ}$, then:

$75+75+75+x=360$

$x=360-225=135$

The fourth angle measures $135^{\circ}$.

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