Question

the opposite angles of a parallelogram are 2x+10 degreeand 3x-15 degree find the each angle measurement of parallelogram​

Answer 1

Step-by-step explanation:

Opposite angles of the parallelogram are 2x+10 and 3x-15 degree.

We know that opposite angles of a parallelogram are equal.

Therefore, 2x+10 = 3x-15

= 2x-3x = -15-10

= -x = -25

= x = 25

Therefore, 2x - 15 = 3x - 15 = 2 * 25 + 10 = $60^{o}$

We know that sum of the adjacent angles of a parallelogram is 180 degree.

Therefore, 180 - 60 = 120 degree.

Answer,

Angle A = 2x + 10 = $60^{o}$

Angle B = 3x - 15 = $60^{o}$

Angle C = Angle D (Opposite angles) = $120^{0}$

Here are your answers. Hope it helps!

Answer 2

$\large\underline{\pmb{\sf Property...}}$

• $\sf\green{Opposite\:Angles\:of\:parallelogram\:are\:equal}$

$\large\underline{\pmb{\sf Required\:Solution....}}$

• According, to the given identity, the given angles are equal.

$\therefore \sf 2x+10=3x-15$

$:\implies \sf10+15=3x-2x$

$:\implies\boxed{\sf x=25°}$

• As we got the required value of x, let's calculate the angles.
• For that, we just have to put the value of x in the given equation of angles.

$\underline{\rm{\sf 1st \:Angle :- }}$

$:\implies \sf 2x+10$

$:\implies\sf 2(25)+10$

$:\implies 50+10=\red{60°}$

$\underline{\rm{\sf 2nd\:Angle:-}}$

$:\implies \sf 3x-15$

$:\implies \sf 3(25)-15$

$:\implies\sf 75-15 = \red{60°}$

━━━━━━━━━━━━━━━━━━━━━━

Done :D

ADDITIONAL INFORMATION:-

• Opposite sides of a parallelogram are equal.
• adjacent angles of a parallelogram are supplementary i.e their sum is 180°
• Diagonals of a parallelogram bisect each other
• Each diagonal of a parallelogram separates it into two congruent triangles.

I hope this answer deserves to be the brainliest