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Find the measurements of angle BEC using the figure below . Remember that two angles on a straight line should equal 180

Find The Measurements Of Angle BEC Using The Figure Below Remember That Two Angles On A Straight Line Should Equal 180 class=

Sagot :

[tex]m\angle BEC=70^{\circ^{}^{}}[/tex]

1) As we can see there is a linear pair with the angles ∠BEC and ∠CEF these angles are supplementary. So we can write out the following equation:

[tex]\begin{gathered} 3x-5+4x+10=180 \\ 7x+5=180 \\ 7x=180-5 \\ 7x=175 \\ \frac{7x}{7}=\frac{175}{7} \\ x=25 \end{gathered}[/tex]

2) So now that we know the quantity of x. Let's plug x=25 into the angle ∠BEC formula:

[tex]m\angle BEC=3(25)-5=70[/tex]

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