The sum of the angles of a triangle is 180 degrees. If one of the acute angles of a right triangle is 52 degrees, what is the measure of the other acute angle? A: Let x be the measure of the unknown acute angle. Write an equation relating this measure to the known quantities. Do not include units in your equation.

Respuesta :

Answer:

An equation is [tex]x+52\°+90\°=180\°[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the measure of the unknown acute angle.

According to angle sum property of a triangle, sum of all the angles of a triangle is equal to 180°.

One of the acute angles of a right triangle is equal to 52°.

Also, the triangle is a right angled triangle, one of the angle must be equal to 90°.

[tex]x+52\°+90\°=180\°\\x+142\°=180\°\\x=38\°[/tex]

So, an equation is [tex]x+52\°+90\°=180\°[/tex]