Three of the angles in a quadrilateral measure 268°, 27° and 52°. What is the measure of the fourth angle? _____°

Geometric Property: The sum of the angles in any quadrilateral is 360 degrees. This is a known geometric property that we will use to find the measure of the fourth angle.Adding Given Angles: First, we add up the three given angles: 268°, 27°, and 52°. Calculation: 268° + 27° + 52° = 347° We have now found the sum of the three given angles.Subtracting Sum of Angles: To find the measure of the fourth angle, we subtract the sum of the three given angles from the total sum of angles in a quadrilateral. Calculation: 360° - 347° = 13° The measure of the fourth angle is therefore 13 degrees.

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Three of the angles in a quadrilateral measure $268^\circ,$ $27^\circ$ and $52^\circ$ . What is the measure of the fourth angle? $\newline$ $\underline{\hspace{1cm}}^\circ$

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Grade 8

Find missing angles in quadrilaterals I

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Q. Three of the angles in a quadrilateral measure

268^\circ,

27^\circ

and

52^\circ

. What is the measure of the fourth angle?

\newline

\underline{\hspace{1cm}}^\circ

Geometric Property: The sum of the angles in any quadrilateral is $360$ degrees. This is a known geometric property that we will use to find the measure of the fourth angle.
Adding Given Angles: First, we add up the three given angles: $268°$ , $27°$ , and $52°$ . $\newline$ Calculation: $268° + 27° + 52° = 347°$ $\newline$ We have now found the sum of the three given angles.
Subtracting Sum of Angles: To find the measure of the fourth angle, we subtract the sum of the three given angles from the total sum of angles in a quadrilateral. $\newline$ Calculation: $360^\circ - 347^\circ = 13^\circ$ $\newline$ The measure of the fourth angle is therefore $13$ degrees.