EXREAMLY URGENT PLS JUST TAKE A LOOK 2. Find the measure of angle B.

A) 15.78°
B) 16.32°
C) 15.04°
D) 16.78°

C. 15.04°

Step-by-step explanation:

The best approach to this question is to use the Law of Sine:

We are given ∠48°, 63 on the longest side and 22 on the adjacent side (opposite of ∠B). This means we just have to set up our equation (remember to set calc to deg!!):

We solve by cross multiplying:

63sin(B) = 22sin(48°)

sin(B) =

B = sin^-1 ()

Plug the B equation into the calculator and your final answer should be 15.041°, which rounds to 15.04°.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°