Three interior angles of a quadrilateral have measures of 52∘, 53∘, and 154∘. Find the fourth angle measure.
101
360 - 52 - 53 - 154 = ?
To find the fourth angle measure of the quadrilateral, you need to know that the sum of the interior angles of any quadrilateral is always equal to 360°.
To find the fourth angle measure, you can use the formula:
Fourth angle measure = 360° - (sum of the given three angle measures)
Substituting the given angle measures into the formula, we have:
Fourth angle measure = 360° - (52° + 53° + 154°)
Now, perform the calculation:
Fourth angle measure = 360° - 259°
Fourth angle measure = 101°
Therefore, the fourth angle measure of the quadrilateral is 101°.