Question

Help please!!!!!!!!!!

Answer 1

x = 50.53 degrees

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