Question

50 Points!!!!!! Triangle ABC is given.

Angle A is labeled two x degrees. Angle B is labeled forty degrees. Angle C is labeled three x degrees.

What is the measure, in degrees, of ∠A?

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Answer 1

All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer 2

Answer: 56°

Explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

Given:

2x + 3x + 40 = 180

Combine like terms:

5x + 40 = 180

Subtract 40 from both sides of the equation:

5x = 140

Divide both sides of the equation by 5:

x = 28

Next, we will substitute this value of x into the expression for ∠A.

∠A = 2x = 2(28) = 56°