If the measure of one of the interior angles of a quadrilateral is 110° what is the sum of the measures of the other 3 interior angles?
A. 220°
B. 250°
C. 300°
D. 330°
E. 360°
OA B
Source: Princeton Review
If the measure of one of the interior angles of a quadrilateral is
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First, recall the followingBTGmoderatorDC wrote: ↑Fri Jun 17, 2022 5:47 amIf the measure of one of the interior angles of a quadrilateral is 110° what is the sum of the measures of the other 3 interior angles?
A. 220°
B. 250°
C. 300°
D. 330°
E. 360°
OA B
Source: Princeton Review
The sum of all of the interior angles of a quadrilateral is equal to \(360^{\circ}\)
In that way, we have
\(\text{Angle_1}+\text{Angle_2}+\text{Angle_3}+\text{Angle_4}=360^{\circ}\)
We know that one of the interior angles has a measure of \(110^{\circ}\)
Thus,
\(110^{\circ}+\text{Angle_2}+\text{Angle_3}+\text{Angle_4}=360^{\circ}\)
\(\text{Angle_2}+\text{Angle_3}+\text{Angle_4}=360^{\circ}-110^{\circ}\)
\(\text{Angle_2}+\text{Angle_3}+\text{Angle_4}=250^{\circ}\)
Therefore, B