The vertical angle of an isosceles is 80°. Find measurement of it's base angles.
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Step-by-step explanation:
Given, vertical angle of isosceles triangle is 80°
we know that,in an isosceles two sides and two angles are equal,
Consider vertical angle as angle A = 80°
and other two angles as angle B and angle C as x and y
sum of angles of a triangle is 180°
then,
angle A + angle B + angle C = 180°
80° + x + y = 180°
since, angle B = angle C that is x=y
then angle C can also be written as x
80° +x +x = 180°
80° + 2x = 180°
2x = 180° - 80°
x = 100°/2
x = 50°
therefore the base angles are 50° each
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