The diagram shows a parallelogram, angles 3x-15, 2x , 2x , 2x +24 work out x

The  value of x is 39°.

A parallelogram is a quadrilateral with equal and parallel opposite sides.

That is ∠A = ∠C, ∠D = ∠B.

That is ∠A + ∠B + ∠C + ∠D = 360°.

That is ∠A + ∠B = 180°, ∠B + ∠C = 180°,∠C + ∠D = 180°, ∠D + ∠A = 180°

We have angles of parallelogram as

∠A= 3x-15,

∠B = 2x ,

∠C = 2x ,

∠D = 2x +24

So, 3x-15+2x+2x+2x +24 = 360°

9x+9= 360°

9(x+1) = 360°

(x+1) = 40°

x = 39°

Therefore the value of x is 39°.

Learn

Parallelogram has two pairs of congruent angles.

Therefore we have the equation:

more detail

step-by-step explanation:

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: