Answer:
2. BD=14m BC=10, CD=4
3. x=43
4. x=14
Step-by-step explanation:
2. The segment BD should be equal to 14, as then problem would be impossible. Then,
BD=14
BC=10 (given)
CD=14-BC=14-10=4
3. Angle CBD is equal to angle DBA, because BD bisects the angle CBA.
So, if we substitute the measures of the angles,
55 =x+12
55-12=x
x=43 degrees
4. Angle QRT+angle TRS=180 degrees because they are both on a straight line, which equals 180 degrees.
So, if we substitute with the measures of the angles,
3x+5+10x-7=180 degrees
13x-2=180
x= 14