Question

If mBCD = 51°, solve for x​

Answer 1

Answer:

$x=5$

Step-by-step explanation:

Since it is a Rhombus.

$\angle BED=\angle BCD\\\angle BED=51$

Now in $\triangle BDE$

$\angle BDE=55,\angle BED=51,\angle EBD=14x+4$

Sum of the three angle of triangle is $180\textdegree$.

$\angle BDE+\angle BED+\angle EBD=180\\51+55+14x+4=180\\14x+110=180\\14x=180-110\\14x=70\\x=\frac{70}{14}\\ x=5$