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Lse t ) equation below to find \( c \), if \( a=56 \) and \( b=62 \). \( c=180-a-b \)

Ask by Murphy Nguyen. in the United States
Mar 09,2025

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\( c = 62 \)

Solution

1. Substitute the given values into the equation: \[ c = 180 - a - b = 180 - 56 - 62. \] 2. First, subtract \( 56 \) from \( 180 \): \[ 180 - 56 = 124. \] 3. Then, subtract \( 62 \) from \( 124 \): \[ 124 - 62 = 62. \] 4. Therefore, \[ c = 62. \]

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To find \( c \), you simply need to plug in the values of \( a \) and \( b \) into the equation \( c = 180 - a - b \). So, substituting the known values: \( c = 180 - 56 - 62 \). Perform the calculations: first, add \( 56 \) and \( 62 \) to get \( 118 \). Then, subtract that from \( 180 \): \( c = 180 - 118 = 62 \). Therefore, the value of \( c \) is \( 62 \). Equations like this are often used in geometry to find the measure of angles in polygons. For example, in a triangle, the sum of the interior angles is always \( 180 \) degrees. This principle can help with various problems in math, especially when you're dealing with more complex shapes or needing to prove certain properties. When plugging values into equations, it’s easy to make small mistakes like misadding or miscalculating. A good tip is to double-check your intermediate steps, ensuring that you don’t rush through. Writing each calculation clearly can help you trace back any errors if the final answer doesn’t seem right!

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