Pergunta

7. Angles 1 and 2 are complementary. The measure of Angle 2 is two times the measure of Angle 1. Write and solve an equation to find the measure of both angles. __
Solução

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RenanProfissional · Tutor por 6 anos
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The measure of angle 1 is 30 degrees and the measure of angle 2 is 60 degrees.
Explicação
## Step 1<br />The problem states that angles 1 and 2 are complementary. This means that the sum of the measures of these two angles is 90 degrees. This can be represented by the equation:<br />### \(A + B = 90\)<br />where \(A\) is the measure of angle 1 and \(B\) is the measure of angle 2.<br /><br />## Step 2<br />The problem also states that the measure of angle 2 is twice the measure of angle 1. This can be represented by the equation:<br />### \(B = 2A\)<br /><br />## Step 3<br />We can substitute the value of \(B\) from the second equation into the first equation to get:<br />### \(A + 2A = 90\)<br /><br />## Step 4<br />Combine like terms on the left side of the equation to get:<br />### \(3A = 90\)<br /><br />## Step 5<br />To solve for \(A\), divide both sides of the equation by 3:<br />### \(A = \frac{90}{3}\)<br /><br />## Step 6<br />Substitute the value of \(A\) into the second equation to solve for \(B\):<br />### \(B = 2A\)
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