Question

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Answer 1

Answer:

56 degrees

Step-by-step explanation:

The total amount of degrees in a triangle is 180: all three angles add up to 180. We can set up an equation to solve this.

40 + 2x + 3x = 180

Let's add like terms:

40 + 5x = 180

Subtract 40 on both sides:

5x = 140

Divide by 5 on both sides to solve for x:

x = 28

Angle A is equal to 2x. Plug in 28 for x. 2*28 = 56. Therefore, Angle A is 56 degrees.

Answer 2

Answer:

∠ A = 56°

Step-by-step explanation:

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

sum the 3 angles and equate to 180

2x + 3x + 40 = 180

5x + 40 = 180 ( subtract 40 from both sides )

5x = 140 ( divide both sides by 5 )

x = 28

then

∠ A = 2x = 2(28) = 56°