Question

problem 13: find the measures of the angles of an isosceles triangle with a vertex angle of 110°. after you enter your answer press go.

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is $180^{\circ}$.

Step2: Identify base - angles relationship

In an isosceles triangle, the base - angles are equal. Let the measure of each base - angle be $x$.

Step3: Set up equation

We know that the vertex angle is $110^{\circ}$, so $110 + x+x=180$.

Step4: Simplify equation

Combining like terms gives $110 + 2x=180$.

Step5: Solve for $x$

Subtract 110 from both sides: $2x=180 - 110=70$. Then divide both sides by 2: $x = 35^{\circ}$. So the angles are $110^{\circ},35^{\circ},35^{\circ}$.

Answer:

$110^{\circ},35^{\circ},35^{\circ}$