Answer: X = 50
Step-by-step explanation: We shall first solve for X in the algebraic expression as follows ;
(X + 10) + (2X + 20) = 180
By removing brackets and collecting like terms we now have
X + 2X + 10 + 20 = 180
3X + 30 = 180
Subtract 30 from both sides of the equation
3X = 150
X = 50
If X has been identified as equal to 50, then the two angles given shall be
Angle 1 = X + 10
Angle 1 = 50 + 10
Angle 1 = 60
Also
Angle 2= 2X + 20
Angle 2 = 2(50) + 20
Angle 2 = 100 + 20
Angle 2 = 120
One of the properties of a parallelogram is, “Opposite angles are congruent.”
The other two angles would also measure 60 and 120, and the sum of all the interior angles shall be;
60 + 120 + 60 + 120 = 360
360 = 360.
