- If the exterior angle of the triangle measure 133°, and its remote interior angles measure x° and (2x-5)°, what is the value of x?

a. x = 61.7°
b. x = 133°
c. x = 47°
d. x = 46°

D

Step-by-step explanation:

Mathematically;

the exterior angle is the sum of the two remote interior angles

Thus;

x + 2x-5 = 133

3x-5 = 133

3x = 133 + 5

3x = 138

x = 138/3

x = 46

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47