By pythagoras Theorem.
x² +12²=13²
=>x² +144 =169
=>x² =169-144=25
=>x=√25=5 unit.
Hence x=5 is your answer.
Hope it helps...
Regards,
Leukonov/Olegion.
Co-interior properties. 180 degrees = two co-interior angles.
180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5 /5
18 = y
Angle 1: 2y + 50
2(18) + 50
36 + 50
86
Angle 2: 3y + 40
3(18) + 40
54 + 40
94
86 + 94 = 180 so it is true.
Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal
5x + 2 = 8x - 7
2 = 3x - 7
9 = 3x
/3 /3
3 = x
Side 1: 5x + 2
5(3) + 2
15 + 2
17
Side 2: 8x - 7
8(3) - 7
24 - 7
17
Both sides are equal; 17.
Angle 1: 86
Angle 2: 94
Sides: 17
No solution because the absolute value equals a negative number and it can only equal a positive number
A trapezoid is a quadrilateral which means the sum of the angles should be equal to 360 degrees. The other angles therefore should have the sum of 360 - 60 - 45 = 255 degrees. Since we do not have the figure it would be hard to specify the measure of each angle.