Question

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.

Answer 1

Answer:

An equation is $x+52\°+90\°=180\°$

Step-by-step explanation:

Let $x$ 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°.

$x+52\°+90\°=180\°\\x+142\°=180\°\\x=38\°$

So, an equation is $x+52\°+90\°=180\°$