Question

question 40 | module 7 practice test
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find the value of x in the figure.
$(x + 5)^circ$
$90^circ$
$155^circ$
$x = \square$

Explanation:

Step1: Find interior adjacent angle

The exterior angle is $155^\circ$, so the interior angle is $180^\circ - 155^\circ = 25^\circ$.

Step2: Sum triangle angles to $180^\circ$

Set up equation: $(x+5) + 90 + 25 = 180$

Step3: Simplify and solve for x

Combine constants: $x + 120 = 180$
Solve: $x = 180 - 120 = 60$

Answer:

60