Respuesta :

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180

x = 180° - (90 + 35)° = 180° - 125° = 55°

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Since the triangle is right use the cosine ratio to solve for b

cos35° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{20}[/tex]

Multiply both sides by 20

20 × cos35° = b, hence

b = 16.38 ( to 2 dec. places )

triistan

Answer:

D) The measure of x is 55 degrees and b = 16.38.

Step-by-step explanation:

If the complimentary angle is 35 degrees, then x must be 55 degrees. b = 16.38 according to the right triangle ratio which states that b = 4/5(c). Since c is 20, b is 16.38.

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