if a rhombus has a measurement of angle BCD equals to 51 degrees, angle D is 55, angle B is (14x *4), what is x?

3 answers

Since the angles in a rhombus are all equal, we can set up the following equation:

51 + 55 + 14x*4 + 14x*4 = 360

106 + 28x = 360

28x = 254

x = 254 / 28

x = 9

Therefore, x is equal to 9.
opposite angles are congruent, so B=D.
but consecutive angles are supplementary, so we need C+D=180
But we have C=51 and D=55

This whole question is messed up.
Apologies for the incorrect information provided earlier. Let's correct the solution:

Given that angle BCD = 51 degrees, angle D = 55 degrees, and angle B = 14x*4.

Since opposite angles in a rhombus are congruent, we know that angle B = angle D. Therefore, we can set up the following equation:

14x*4 = 55

14x = 55 / 4

14x = 13.75

x = 13.75 / 14

x ≈ 0.982

So, x is approximately equal to 0.982.