A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus. What is the value of x? A. 50 B. 55 C. 125 D. 145

Question

asked Feb 20, 2019 176k views

2 Answers

John Lewin · Answer 1 · 2019-02-23T02:02:24+0000

The 4 angles of a rhombus should add up to be 360 degrees.

So,........................... 2x + 20 + 2x + 20 + 50 +50 = 360

Combine like terms:............................... 4x + 140 = 360

Subtract 140 from both sides ..........................4x = 220

Divide by 4.............................................................. x = 55

Tom Dorone · Answer 2 · 2019-02-25T17:46:33+0000

The sum of angles in any Rhombus is 360 degrees.Opposite angles of a rhombus are congruent.

Two of the adjacent angles are 2x+20 and 50 degrees.

The opposite angles measure 2x+20 and 50 degrees.

Sum of angles in any Rectangle is 360

2x+20+50+2x+20+50=360

Adding line terms,

4x+140=360

Subtracting 140 both sides:

4x=220

Dividing both sides by 4

x=55

Option B. 55 is the right answer.