Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

drag a vertex of the triangle to change its shape double - click or dou…

Question

drag a vertex of the triangle to change its shape
double - click or double - tap a vertex or side to prevent
it from changing.

problem: construct a triangle with interior angle measures of 60° and 75°.
what is the measure of the third angle?
45°
48°
50°
30°

Explanation:

Step1: Recall the sum of interior angles of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Calculate the third angle

Let the third angle be \(x\). We know two angles are \(60^{\circ}\) and \(75^{\circ}\). Using the formula \(x + 60^{\circ}+75^{\circ}=180^{\circ}\), we can solve for \(x\).

$$ LATEXBLOCK0 $$

Answer:

\(45^{\circ}\)