MATH SOLVE

5 months ago

Q:
# 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°

Accepted Solution

A:

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°

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°