Answer:
x = 50.53 degrees
Step-by-step explanation:
Q 1
Find length of BD using the sine Rule:-
5.6 / sin 78 = BD / sin 50
BD = 5.6 * sin 50 / sin 78
BD = 4.386 cm
Now consider triangle BDC
m < BDC = 180 - 78 = 102 degrees
Applying the sine Rule:-
9.3 / sin 102 = 4.386 / sin < BCD
sin BCD = sin 102 * 4.386 / 9.3
sin < BCD = 0.4613
m < BCD = 27.47 degrees
So m < x = 180 - 102 - 27.47 degrres
= 50.53 degrees
