Answer:
68 or 62 degrees
Step-by-step explanation:
If the 56 degree angle is one of the base angles of the triangle, you can multiply it by two (because base angles of an isosceles triangle
are congruent), and then subtract 180 (because you must subtract the sum of two angles from 180 to get the measure of the third angle).
If the 56 degree is not a base angle, then you can use this equation to get the measurement of each base angle:
(180-56)÷2=measure of each base angle
180=sum of angle measures in a triangle
56=measure of third angle
With 180-56, you get the sum of the base angles, so you must divide by two. (Base angles of an isosceles triangle are congruent)
The other angles that could be in that isosceles triangle should be considered as the 56°, 68°, or 62°.
Since One angle of an isosceles triangle measures 56°.
So in the case when 56° angle is one of the two congruent angles, so the remaining angles are 56° and 180-2(56) = 68°
Now
In the case when the is 56° Is not congruent to either of the other angles, so each of the remaining two angles should be [tex](180-56)/2[/tex]= 62°.
hence, The other angles can be 56°, 68°, or 62°.
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