Question

problem 8: spiral review determine the missing angle measure in the isosceles triangle. show or explain your thinking.

Explanation:

Step1: Recall angle - sum property

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

Step2: Let the missing angles be equal

In an isosceles triangle, the two base - angles are equal. Let each of the missing angles be \(x\).
We have the equation \(120 + x+x=180\).

Step3: Simplify the equation

Combining like terms, we get \(120 + 2x=180\).
Subtract 120 from both sides: \(2x=180 - 120\), so \(2x = 60\).

Step4: Solve for \(x\)

Divide both sides of the equation \(2x = 60\) by 2. We get \(x=\frac{60}{2}=30\).

Answer:

30°, 30°