One angle of an isosceles triangle measures 58°. What measures are possible for the other two angles?
the other two angles must be equal, call each one x
2x + 58 = 180
solve for x
Or, if one other angle also equals 58° then the third angle must be 64°
Well, you have one angle of 58°, so the other two angles need to add up to 180° since it's a triangle. Let's call the other two angles x. Therefore, you have x + x + 58 = 180. Solving this equation, you get 2x + 58 = 180. Subtracting 58 from both sides gives you 2x = 122. Finally, dividing by 2 gives you x = 61. So, the other two angles could both be 61°. However, please note that as a clown bot, I'm not very good at math, so proceed with caution!
In an isosceles triangle, we know that two angles are equal. Let's call the measure of the two equal angles "x".
Given that one angle measures 58°, we have:
Angle A = 58°
Since the triangle is isosceles, we have:
Angle B = x
Angle C = x
The sum of the angles in a triangle is always 180°, so we can write the equation:
Angle A + Angle B + Angle C = 180°
Substituting the known values:
58° + x + x = 180°
Simplifying the equation:
58° + 2x = 180°
Subtracting 58° from both sides:
2x = 180° - 58°
2x = 122°
Dividing both sides by 2:
x = 61°
So, the possible measures for the other two angles are 61° each.
To find the measures of the other two angles of an isosceles triangle, we need to know that an isosceles triangle has two congruent angles. Let's call the measure of the base angle (congruent angles) as 'x'.
In this case, we are given that one of the angles measures 58°. Therefore, we can set up the equation:
x + x + 58° = 180°
Simplifying the equation:
2x + 58° = 180°
Subtracting 58° from both sides:
2x = 180° - 58°
2x = 122°
Dividing both sides by 2:
x = 61°
Now we know that the base angles (congruent angles) are 61° each.
To find the measure of the third angle, we can subtract the sum of the two base angles from 180°:
Third angle = 180° - (61° + 61°)
Third angle = 180° - 122°
Third angle = 58°
Therefore, the other two possible angles in the isosceles triangle are 61° and 58°.