Answer:
Therefore the measure of the missing angle x, is 90°.
Step-by-step explanation:
Let name the vertices of a Quadrilateral as ABCD such that
∠A = 107°
∠B = 72°
∠C = 91°
∠D = x
To Find:
x = ?
Solution:
In a quadrilateral,
Sum of the measures of all the angles is add up to 360°
[tex]\angle A+\angle B+\angle C+\angle D=360\°[/tex]
Substituting the values we get
[tex]107+72+91+ x = 360\\x = 360 -270=90\\\therefore x=90\°[/tex]
Therefore the measure of the missing angle x, is 90°.
