In an isosceles triangle, the base angles are equal and the vertex angle is 80°. Find the measure of the base angles. (Note: the angles of a triangle add up to 180°.)

This is multi step equations and has to have a equation btw. Thanks. . :)

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frika

Answer:

50°

Step-by-step explanation:

In an isosceles triangle, the base angles are equal and the vertex angle is 80°. Let x° be the measure of each of base angles.

In a triangle, the sum of the measures of all interior angles is always 180°, then

[tex]x^{\circ}+x^{\circ}+80^{\circ}=180^{\circ}\\ \\2x^{\circ}=180^{\circ}-80^{\circ}\\ \\2x^{\circ}=100^{\circ}\\ \\x^{\circ}=50^{\circ}[/tex]

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