Question

find the value of in the triangle shown below.
x=

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angles in a triangle sum to 180° proof

Explanation:

Step1: Use triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). So, \(x + 37^{\circ}+56^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

\(x=180^{\circ}-(37^{\circ} + 56^{\circ})\).
First, calculate \(37^{\circ}+56^{\circ}=93^{\circ}\).
Then, \(x = 180^{\circ}-93^{\circ}\).

Answer:

\(x = 87\)