Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

42°
(8x+13)°
77°

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, \(42^\circ + 77^\circ + (8x + 13)^\circ = 180^\circ\).

Step2: Simplify the left side

Add the known angles: \(42 + 77 + 13 + 8x = 180\) → \(132 + 8x = 180\).

Step3: Solve for x

Subtract 132 from both sides: \(8x = 180 - 132 = 48\). Then divide by 8: \(x = \frac{48}{8} = 6\).

Answer:

\(x = 6\)