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I need help finding the angle measurements of 1 and 2

I Need Help Finding The Angle Measurements Of 1 And 2 class=

Sagot :

To find the angles 1 and 2:

In the above triangle, the angles opposite to the equal sides are equal.

Let us take,

[tex]\angle1=\angle2=x[/tex]

So, using the angle sum property of a triangle

[tex]\begin{gathered} 55+x+x=180 \\ 2x=180-55 \\ 2x=125 \\ x=62.5^{\circ} \end{gathered}[/tex]

Hence, the angles are

[tex]\begin{gathered} \angle1=62.5^{\circ} \\ \angle2=62.5^{\circ} \end{gathered}[/tex]