Question

question 17/25
directions - use the triangle angle sum theorem to fill in the blanks.
drag and drop the correct degree measure onto the diagram:
drag & drop the answer
60°
30°
64°
56°
72°
note: use ctrl+d to drag the option via keyboard

Explanation:

Step1: Recall triangle - angle sum theorem

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

Step2: Identify the triangle

We need to find the missing angle in a triangle where two angles are given as 84° and 36°.

Step3: Calculate the missing angle

Let the missing angle be \(x\). Using the formula \(x + 84^{\circ}+36^{\circ}=180^{\circ}\), we can solve for \(x\) as \(x=180^{\circ}-(84^{\circ} + 36^{\circ})\). So \(x = 60^{\circ}\).

Answer:

60°