m∠A = x+10, m∠D = 2x. Find the value of x and the measure of ∠A. Show work

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In geometry, angles are measured in degrees. Finding the value of x and the measure of ∠A involves using the given angle measures. We can set up an equation using the information provided. Since ∠A = x+10 and ∠D = 2x, we can write the equation m∠A + m∠D = 180, as the sum of the interior angles of a triangle is always 180 degrees. Substituting the given angle measures, we have (x+10) + 2x = 180. By combining like terms, the equation simplifies to 3x + 10 = 180. Solving for x, we subtract 10 from both sides, giving us 3x = 170. Dividing both sides by 3, we find that x = 56.667. To find the measure of ∠A, we substitute x = 56.667 into the equation ∠A = x+10, giving us ∠A = 56.667 + 10 = 66.667 degrees. So, x is approximately 56.667 and the measure of ∠A is approximately 66.667 degrees.

m∠A = x+10, m∠D = 2x. Find the value of x and the measure of ∠A. **Show work**

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m∠A = x+10, m∠D = 2x. Find the value of x and the measure of ∠A. Show work