Three angles of a quadrilateral are equal.

Question:

Three angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles.

Solution:

Let $x$ be the measure of the equal angle $s$ of the quadrilateral.

Since, the sum of all the angles of a quadrilateral is $360^{\circ}$, we have:

$x^{\circ}+x^{\circ}+x^{\circ}+150^{\circ}=360^{\circ}$

$\Rightarrow 3 x^{\circ}=360^{\circ}-150^{\circ}$

$\Rightarrow x^{\circ}=210^{\circ}$

$\therefore$ The measure of each angle is $70^{\circ}$

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