Question

Given figure ABCD is a rhombus.
The measures of the angles of the rhombus are:

Answer 1

Answer:

x+x+7x+2x=360°

x=360\11

x=32.72°

/_A=36.72°x2=65.45

/_B=32.72°

_C=36.72°

/_D=36.72x7=229.09

Step-by-step explanation:

hope helpful

Answer 2

Answer:

The measures of the angles of the rhombus are:

∠A   = 40°  

∠B   = 140°

∠C  = 40°  

∠D  = 140°

Step-by-step explanation:

The opposite angles of a rhombus are equal.

So, ∠A = ∠C = 2x

And ∠B = ∠D = 7x

The sum of the interior angles of a rhombus is 360°.

∠A + ∠B + ∠C + ∠D = 360°

2x + 7x + 2x + 7x = 360°

(2 + 7 + 2 + 7)x = 360°

18x = 360°

x = 20

So, ∠A = 2x = 2 (20) = 40°  

∠B = 7x = 7(20) = 140°

∠C = 2x = 2 (20) = 40°  

∠D = 7x = 7(20) = 140°