News
Get Premium
Dashboard
Dashboard Sign out
McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
3. Tests for Parallelograms
Continue to next subchapter
search

Exercise 4 Page 499

Recall the Parallelogram Opposite Angles Theorem says that if a quadrilateral is a parallelogram, then its opposite sides are congruent.

x=11
y=14

Practice makes perfect

Let's find the value of each variable one at a time.

Value of x

Notice that the angles measuring 8x-8 and 6x+14 are consecutive angles. Recall that the Parallelogram Opposite Angles Theorem says that if a quadrilateral is a parallelogram, then its opposite angles are congruent. Therefore 8x-8= 6x+14. Let's solve it!
8x-8=6x+14
SubEqn

LHS-6x=RHS-6x

2x-8=14
AddEqn

LHS+8=RHS+8

2x=22
DivEqn

.LHS /2.=.RHS /2.

x=11

Value of y

Notice that the angles measuring 6y+16 and 7y+2 are consecutive angles. Recall the Parallelogram Opposite Angles Theorem says that if a quadrilateral is a parallelogram, then its opposite angles are congruent. Therefore 6y+16= 7y+2. Let's solve this equation.
6y+16=7y+2
SubEqn

LHS-6y=RHS-6y

16=y+2
SubEqn

LHS-2=RHS-2

14=y
RearrangeEqn

Rearrange equation

y=14
Subchapter links expand_more
arrow_right Exercises p.499-503
1
Exercises 2 (Page 499)
Exercises 3 (Page 499)
Exercises 4 (Page 499)
Exercises 5 (Page 499)
Exercises 6 (Page 500)
Exercises 7 (Page 500)
Exercises 8 (Page 500)
Exercises 9 (Page 500)
Exercises 10 (Page 500)
Exercises 11 (Page 500)
Exercises 12 (Page 500)
Exercises 13 (Page 500)
Exercises 14 (Page 500)
Exercises 15 (Page 500)
Exercises 16 (Page 500)
Exercises 17 (Page 500)
Exercises 18 (Page 500)
Exercises 19 (Page 500)
Exercises 20 (Page 500)
Exercises 21 (Page 501)
Exercises 22 (Page 501)
Exercises 23 (Page 501)
Exercises 24 (Page 501)
Exercises 25 (Page 501)
Exercises 26 (Page 501)
Exercises 27 (Page 501)
Exercises 28 (Page 501)
Exercises 29 (Page 501)
Exercises 30 (Page 501) engineering
Exercises 31 (Page 501)
Exercises 32 (Page 501) engineering
Exercises 33 (Page 501) engineering
Exercises 34 (Page 501) engineering
Exercises 35 (Page 501)
Exercises 36 (Page 501)
Exercises 37 (Page 502)
Exercises 38 (Page 502)
Exercises 39 (Page 502)
Exercises 40 (Page 502)
Exercises 41 (Page 502) engineering
Exercises 42 (Page 502)
Exercises 43 (Page 502)
Exercises 44 (Page 502)
Exercises 45 (Page 502)
Exercises 46 (Page 503)
Exercises 47 (Page 503)
Exercises 48 (Page 503)
Exercises 49 (Page 503)
Exercises 50 (Page 503)
Exercises 51 (Page 503)
Exercises 52 (Page 503)
Exercises 53 (Page 503)
Exercises 54 (Page 503)
Exercises 55 (Page 503)
Exercises 56 (Page 503)
Exercises 57 (Page 503)
Exercises 58 (Page 503)
Exercises 59 (Page 503)