Question

1. if one angle of an isosceles triangle measures 40 degrees, what are the measures of the other two angles? 40 degrees each 70 degrees each 80 degrees each 120 degrees each

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Analyze isosceles triangle

In an isosceles triangle, two angles are equal. Let the equal angles be \(x\). If the given angle (\(40^\circ\)) is one of the equal angles:
Sum: \(40 + x + x = 180\)
\(40 + 2x = 180\)
\(2x = 180 - 40 = 140\)
\(x = 70^\circ\)
If the given angle is the vertex angle:
Sum: \(40 + x + x = 180\) (same as above, but if we assume the given angle is non - equal, but since \(40 + 40+100 = 180\) is not an option, so the first case is valid).

Answer:

70 degrees each