Respuesta :
Answer: 50.5
Step-by-step explanation:
If it’s mathswatch you don’t need an explanation just type in the answer it gives you all the marks <3
The value of the angle,x=50.531°. The angle is obtained by the sin law.
What is the triangle?
A triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
From the sin rule;
[tex]\rm \frac{AB}{sin \angle ACB} =\frac{BC}{sin \angle BAC} \\\\ \rm \frac{5.6}{sin \angle ACB} =\frac{9.3}{sin \angle 50^0} \\\\ \angle ACB=27.49^0[/tex]
For the same angles;
[tex]\rm \angle ACB=\angle BCD[/tex]
From the exterior angle theorm ;
[tex]\rm \angle BCD+\angle CBD= \angle ADB[/tex]
∠CBD=x
∠ABD=78°
Putting the obtained values;
27.469°+x=78°
x=78°-27.469°
x=50.531°
Hence,the value of the angle,x=50.531°.
To learn more about triangle refer;
https://brainly.com/question/25813512
#SPJ2
