Answer:
46 and 88° or 67 and 67°
Explanation:
An isosceles triangle has two sides of equal length and one other of a different length;
A triangle with such features also has 2 equal angles and one other;
If we consider that 46° is the angle that is not one of the two equal ones, then we can calculate the other two;
All angles in a triangle sum to 180, so:
180 - 46 = 134
The two remaining angles constitute 134° collectively;
If they are equal, each angle can be found like so:
¹³⁴/₂ = 67
Each of the two equal angles will be 67°;
Alternatively, if 46° is one of the two equal angles, then these two angles will be:
46 × 2 = 92
Then, the remaining angle can be found like so:
180 - 92 = 88
So the angles within the triangle are either:
46, 46 and 88°
or
46, 67 and 67°
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