Question

1.) What is the measure of ∠K, to the nearest degree?

a. ) 13°

b.) 24°

c.) 66°

d.) 72°

2.) What is the measure of ∠R to the nearest degree?

a.) 31°

b.) 53°

c.) 58°

d.) 80°

Answer 1

Hello! The correct answer to the first question is 66 degrees.

Answer 2

we know that
the law of sines establish
a/sin A=b/sin B

problem N 1

50/sin K=53/sin 76-------> 50*sin 76=53*sin K-----> sin K=50*sin 76/53
sin K=0.9154
K=arc sin (0.9154)--------> K=66.25°------> K=66°

the answer problem N 1 is the option
c.) 66°

Problem N 2

30/sin R=35/sin 69------> sin R=30*sin 69/35-----> sin R=0.8002
R=arc sin(0.8002)-------> R=53.15°-----> R=53°

the answer problem N 2 is the option
b.) 53°