Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
65°
37°
(4x+6)°
answer attempt 1 out of 2
x =
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Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(37^\circ + 65^\circ + (4x + 6)^\circ = 180^\circ\).

Step2: Simplify the left side

Calculate \(37 + 65 + 6 = 108\), so the equation becomes \(108 + 4x = 180\).

Step3: Solve for x

Subtract 108 from both sides: \(4x = 180 - 108 = 72\). Then divide by 4: \(x = \frac{72}{4} = 18\).

Answer:

\(x = 18\)