# The diagram shows a parallelogram. The sizes of the angles, in degrees, are: 2x, 3x-15, 2x, 2x+24.? Work out the value of x. If someone could explain how to get the answer, that would be GREAT!

## 9 answers by real people - The diagram shows a parallelogram. The sizes of the angles, in degrees, are: 2x, 3x-15, 2x, 2x+24.?

• 9 days ago

The sum of the internal angles of a parallelogram (a quadrilateral) is 360 degrees. Hence:

2x + (3x – 15) + 2x + (2x + 24) = 360

=> 9x + 9 = 360

=> 9x = 351

=> x = 39

Ans: Value of x is: x = 39

• pmt853
9 days ago

So 3x-15=2x+24 deduct 2x from each side and add 15

x=39.

So the angles are 2×39=78 and (2×39)+24=102 degrees.

Checking (2×78) + (2×102) = 360 degrees.

• Melvyn
9 days ago

2x+3x-15+2x+2x+24=360

9x +9=360

9x = 351

x=351/9 =39 degrees

so the angles are

78 degrees

102 degrees

78 degrees

102 degrees

all the angles of a parallelogram sum to 360

• MechEng2030
9 days ago

2x + (3x – 15) + 2x + (2x + 24) = 360

9x + 9 = 360 => x + 1 = 40 => x = 39

• Pinkgreen
9 days ago

Since 3x-15=2x+24 (the opposite angles equal),

3x-2x=24+15=>

x=39*

• Dreamer
9 days ago

2x+3x-15+2x+2x+24=360

9x+9=360

9x=351

x=39

• Harry
6 days ago

or you could say opposite angles in a parallelogram are equal so 2x + 24 = 3x – 15 and find x that way

• Ayem Z Mastur
9 days ago

add them all up the you equate to 360. so it would be like “2x + 3x-15 + 2x + 2x+24 = 360”. then obtain the value of x. simple.

• ?
4 days ago

Sum of measures of all angles of a triangle = one hundred eighty 3x + 2x – 10 + 3x + 30 = one hundred eighty 3x + 2x + 3x -10 + 30 = one hundred eighty 8x + 20 = one hundred eighty 8x = one hundred eighty – 20 8x = a hundred and sixty x = a hundred and sixty / 8 x = 20 The angles are 3x = 3(20) = 60 2x – 10 = 2(20) – 10 = 40 – 10 = 30 3x + 30 = 3(20) +30 = 60 + 30 = ninety distinction between greatest and smallest angles = ninety – 30 = 60 wish that enables