Question

an isosceles triangle has an angle that measures 110°. what measures are possible for the other two angles? choose all that apply. 45° 35° 25° 110°

Explanation:

Step1: Recall triangle - angle sum property

The sum of the interior angles of a triangle is 180°.

Step2: Analyze the given angle

The given angle of 110° cannot be one of the two equal angles in an isosceles triangle because if there were two 110° angles, the sum would be 110° + 110°=220°>180°. So the 110° angle is the non - equal angle.

Step3: Calculate the equal angles

Let the measure of each of the equal angles be $x$. Then, using the angle - sum property of a triangle, we have $110 + 2x=180$. Solving for $x$:
\[

$$\begin{align*} 2x&=180 - 110\\ 2x&=70\\ x& = 35 \end{align*}$$

\]

Answer:

B. 35°