Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
74°
63°
(4x+11)°
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, \(74^\circ + 63^\circ + (4x + 11)^\circ = 180^\circ\).

Step2: Simplify the left side

First, add \(74\) and \(63\): \(74 + 63 = 137\). Then the equation becomes \(137 + 4x + 11 = 180\). Combine like terms: \(148 + 4x = 180\).

Step3: Solve for x

Subtract \(148\) from both sides: \(4x = 180 - 148 = 32\). Then divide by \(4\): \(x = \frac{32}{4} = 8\).

Answer:

\(x = 8\)