One angle of an isosceles triangle measures 80 degrees. Witch other angles could be in that isosceles triangle?
20° 50° and 80°
In an isosceles triangle, the two base angles are congruent (the same measure). Since one angle of the triangle measures 80 degrees, the other two angles must also be the same measure. So, the other two angles in the isosceles triangle could also measure 80 degrees each. Therefore, the possible angles in the isosceles triangle could be 80 degrees, 80 degrees, and 20 degrees.
To find the angles in an isosceles triangle, we need to know that an isosceles triangle has two equal angles (base angles) and one unequal angle (vertex angle). In this case, we know that one angle measures 80 degrees.
Since the base angles of an isosceles triangle are equal, we can find the measure of the base angles by subtracting the given angle from 180 degrees (the sum of all angles in a triangle).
Let's calculate the measure of the base angles:
180 degrees - 80 degrees = 100 degrees
Therefore, the two base angles of the isosceles triangle could measure 100 degrees each, and the vertex angle (the unequal angle) would measure 80 degrees.
In summary, the possible angles that could be in the isosceles triangle are: 80 degrees, 100 degrees, and 100 degrees.
50 and 50
40 and 60
40 and 70
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