Question

finding angle sums
a diagonal is drawn on a square.
how many triangles are formed?

what is the sum of the measures of the angles of a triangle?
°
what is the sum of the angle measures of the square?
°

Explanation:

Step1: Count formed triangles

Observe the square with one diagonal: the diagonal splits the square into 2 distinct triangles.

Step2: Recall triangle angle sum

The sum of interior angles of any triangle is a fixed value: $180^\circ$

Step3: Calculate square angle sum

The square is split into 2 triangles. Multiply the triangle angle sum by 2: $2 \times 180^\circ = 360^\circ$

Answer:

1. 2
2. $180^\circ$
3. $360^\circ$