Respuesta :

1590404

Answer:

55 degrees.

Step-by-step explanation:

ok so first off we know altogether the angles of a triangle have to equal 180 degrees total we have one thats 80 so the other two together must be 100 given that information we can make the equation 7x+6+3+6x=100 we simplify to get 13x+9=100 after moving it around you get 13x=91 solve the equation by dividing both sides by 13 to get x=7, but we are not done we have to solve for angle A by inputting the X so we get angle A=55 degrees

Answer: D) 55 degrees

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Work Shown:

A+B+C = 180 ..... angles of a triangle add to 180

(7x+6) + (80) + (3+6x) = 180

13x + 89 = 180

13x = 180-89 .... subtract 89 from both sides

13x = 91

x = 91/13 .... divide both sides by 13

x = 7

Use this x value to find the missing angle measures.

angle A = 7x+6 = 7*7+6 = 55

angle C = 3+6x = 3+6*7 = 45

Note that,

A+B+C = 55+80+45 = 180

which helps confirm our answer.

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