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question the measures of the angles of a triangle are shown in the figu…

Question

question
the measures of the angles of a triangle are shown in the figure below.
answer attempt 1 out of 2
$x = \square$
the triangle has angles: $(6x+13)^\circ$, $78^\circ$, $41^\circ$

Explanation:

Step1: Sum triangle angles to 180°

$$(6x+13) + 78 + 41 = 180$$

Step2: Simplify left-hand side

$$6x + 132 = 180$$

Step3: Isolate the term with x

$$6x = 180 - 132$$
$$6x = 48$$

Step4: Solve for x

$$x = \frac{48}{6}$$

Answer:

$x=8$