Question

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Answer 1

Answer:

m∠5 = 112

Explanation:

The angles 2 and 5 are supplementary; therefore,

$m\measuredangle2+m\measuredangle5=180^o$$(x+38)+(3x+22)=180^o$

which simplifies to give

$4x+60=180$

subtracting 60 from both sides gives

$4x=120$

Finally, dividing both sides by 4 gives

$x=30$

With the value of x in hand, we now find the value of angle 5.

$\begin{gathered} m\measuredangle5=3x+22 \\ m\measuredangle5=3(30)+22 \\ m\measuredangle5=112 \end{gathered}$

Hence, the measure of angle 5 is 112 degrees.