## Question

The sum of the measures of angles of a quadrilateral and that of a triangle is

A) $180^{\circ}$

B) $360^{\circ}$

C) $540^{\circ}$

D) $720^{\circ}$

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## Answer

The correct answer is **C) $540^{\circ}$**.

To solve this, consider the properties of geometric shapes:

- The sum of the interior angles of a
**quadrilateral**totals**$360^{\circ}$**. - The sum of the interior angles of a
**triangle**is**$180^{\circ}$**.

To find the total sum of the angles for both a quadrilateral and a triangle, we simply add these sums:

$$ 360^{\circ} + 180^{\circ} = 540^{\circ} $$

Thus, the combined sum of the angles is **$540^{\circ}$**.

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