Since (x - 2)° and (2x + 5)° represent a pair of supplementary angles, then their sum must be equal to 180°. Therefore, the two supplementary angles are 57° and 123°.
Area of a triangle=1/2(base x height)
Area=72, Base=8, Height=2x-3
Plug it in.
72=1/2(8 x (2x-3))
72=1/2(16x-24)
72=8x-12
84=8x
x=10.5
Answer: 6units
Step-by-step explanation:
Since it is a regular polygon, and it has 3 equal sides it means the polygon is a quadrilateral.
From the diagram,
5 - 2x = -4x + 9 ( side of quadrilateral )
Solving for x in the equation
-2x + 4x = 9 - 5 ( collection of like terms in simple linear equation )
2x = 4
Divide through by the coefficient of x which is 2
x = 2.
Therefore, the perimeter of the polygon which equals to the total length of the polygon is
Perimeter = 2 + 2 + 2
= 6units
