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The sum of the measures of the interior angles of a triangle is 180^(∘).
44^(∘), 48^(∘), and 88^(∘)
We want to find the measures of the angles in the given triangle.
To find these angle measures, we will first recall a key piece of information!
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Angle Sum of a Triangle |
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The sum of the measures of the interior angles of a triangle is 180^(∘). |
With this rule, we can write an equation connecting the measures of the angles of our triangle. x^(∘)+ (x-44)^(∘)+ 48^(∘)=180^(∘) Let's solve the equation and find the value of x. For simplicity, we will not write the degree symbol.
The measure of one of the angles is 88^(∘). To find the other missing measure, we will substitute x= 88 in the expression for the remaining angle, (x-44)^(∘). Once again, we will remove the degree symbol for the calculation.
The measure of the third angle is 44^(∘).