Given the parallelogram abcd, solve for x when angle a equals (30+ 5x)° and angle d equals (15+10x)° degrees. also, sides ab and cd opposite each other.

  x = 9

Step-by-step explanation:

Adjacent angles A and D are supplementary:

  (30 +5x)° +(15 +10x)° = 180°

  15x +45 = 180 . . . . . collect terms, divide by °

  15x = 135 . . . . . . . . . subtract 45

  135/15 = x = 9 . . . . . divide by the coefficient of x

The value of x is 9.

The value of x = 9.

Step-by-step explanation:

Since we have given that

∠A =  (30+5x)°

∠ D = (15+10x)°

Since ABCD is a parallelogram.

In parallelogram, opposite angles are equal and sum of adjacent angle is supplementary angles.

So, ∠A + ∠D = 180° (∵ A and D are adjacent angles)

Hence, the value of x = 9.

X = 9°

Step-by-step explanation:

In parallelogram, the sum of the adjacent angles is equal to 180°

Given two adjacent angles of a parallelogram

<A = (30+ 5x)° and <D = (15+10x)°

To get X, we will take the sum of this two angles and equate it to 180°

<A + <D = 180°

(30+5x)° + (15+10x)° = 180°

Expanding the bracket

30+5x+15+10x = 180°

45+15x = 180°

15x = 180-45

15x = 135°

x = 135/15

x = 9°

x = 9 on APX

Step-by-step explanation: