Question

solve for interior angles - triangle (level 2)
question
the measures of the angles of a triangle are shown in the figure below. solve for x.
answer
attempt 1 out of 3
x = submit answer
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Explanation:

Step1: Use the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((4x - 8)+104 + 28=180\).

Step2: Simplify the left - hand side of the equation

First, combine the constant terms: \((4x-8)+132 = 180\), then \(4x+124 = 180\).

Step3: Solve for \(x\)

Subtract \(124\) from both sides: \(4x=180 - 124\), so \(4x = 56\). Then divide both sides by \(4\): \(x=\frac{56}{4}\).

Answer:

\(x = 14\)