The measure of the interior angles include the following;
m∠Q = 123°.
m∠R = 58°.
m∠S = 121°.
m∠T = 58°
In Mathematics and Geometry, a quadrilateral is a type of polygon that has four (4) sides, four (4) vertices, four (4) edges and four (4) angles.
Generally speaking, the sum of the interior angles of any quadrilateral is equal to 360 degrees. In this context, we can logically deduce the following;
m∠Q + m∠R + m∠S + m∠T = 360°
By using the substitution property, we have the following;
2x + 5 + x + 2x + 7 + x = 360
6x + 12 = 360
6x = 360 - 12
x = 348/6
x = 58°.
m∠Q = 2(58) + 7
m∠Q = 123°.
m∠R ≅ m∠T = 58°
m∠S = 2(58) + 5
m∠S = 121°.