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Independent Assessment 2
Directions: Find the value of x and y given that the figure is a parallelogram

GUYS PAHELP NAMAN FOR JOURNAL ENTRY IN MATH THANK YOU.​

Independent Assessment 2 Directions Find The Value Of X And Y Given That The Figure Is A ParallelogramGUYS PAHELP NAMAN FOR JOURNAL ENTRY IN MATH THANK YOU class=

Sagot :

Answer with Step-by-step explanation:

1.)

x = 116°  (opposite angles are congruent)

y = 180 - 116

y = 64°   (consecutive angles are supplementary with sum of 180°)

2.)

y = 40°  

(Alternate interior angles are congruent. Here, the diagonal is the transversal while the opposite sides are the parallel segments cut by a transversal)

5x - 13 = 2x + 5

5x - 2x = 5 + 13

3x/3 = 18/3

x = 6

(Opposite sides are congruent.)

3.)

3x - 2= 25

3x = 25 + 2

3x/3 = 27/3

x = 9

(Opposite sides are congruent.)

2y + 1 = 25

2y = 25 - 1

2y/2 = 24/2

y = 12

(Opposite sides are congruent.)

4.)  

3y = 39

3y/3 = 39/3

y = 13

(Opposite angles are congruent.)

5x + 1 + 39 = 180

5x + 40 = 180

5x = 180 - 40

5x/5 = 140/5

x = 28

(Consecutive angles are supplementary.)

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