body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

Continue to next subchapter

Exercise 36 Page 528

If the base angles are congruent in the trapezoid then it is an isosceles trapezoid.

11^(∘)

Practice makes perfect

We want to find x such that ABCD is an isosceles trapezoid.

In an isosceles trapezoid, each pair of base angles are congruent. Therefore ∠ ABC must have the same measure as ∠ DAB. 4x+11^(∘)= 2x+33^(∘) Let's solve this equation to find x.

4x+11^(∘)=2x+33^(∘)

▼

Solve for x

LHS-2x=RHS-2x

2x+11^(∘)=33^(∘)

LHS-11^(∘)=RHS-11^(∘)

2x=22^(∘)

.LHS /2.=.RHS /2.

x=11^(∘)

When x=11^(∘) the base angles are congruent, which means ABCD becomes an isosceles trapezoid.

Subchapter links

Exercises p.526-530