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The angle BCD = 120°

Given

A parallelogram and four angles

Required

Angle BCD

Solution

In A parallelogram

The sum of the four angles is 360°

Opposite angles are equal /congruent(A=C, B=D)

Consecutive angles are supplementary (A + D = 180 °, D + C = 180°, C + B = 180°, B + A = 180°).

We choose a solution by using

Consecutive angles :

∠C+∠B=180°

18x=180°

x=10

∠C=∠BCD =

Or we can use another ways :

The sum of the four angles is 360°

∠A+∠B+∠C+∠D=360°

12x+6x+12x+6x=360°

36x=360°

x=10

∠C=∠BCD =

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

i think 5 miles per hour

step-by-step explanation: