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Which is the sum of the 2 smallest angles in a right triangle?
O A. 30 degrees
OB. 45 degrees
O c. 90 degrees
O D. 180 degrees
O E. 360 degrees


Sagot :

A right triangle has one 90 angle.

The sum of the three angles of any triangle is equal to 180 degrees.

180-90= 90 degrees.
The answer is C.

The sum of the 2 smallest angles in a right angled triangle be [tex]90^{0}[/tex].

What is angle sum property of triangle?

"The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º."

What is right angled triangle?

"A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle."

As we know the sum of the three angles of a right angled triangle is 180 degrees.

<A + <B + <C = [tex]180^{0}[/tex]

We also know the right angled triangle have a 90 degrees angle among the three angles.

So the sum of the 2 smallest angles in a right angled triangle be

<A + <B + <C = [tex]180^{0}[/tex]

<A + <B  = [tex]180^{0}[/tex] - <C

<A + <B = [tex]180^{0}-90^{0}[/tex]

<A + <B = [tex]90^{0}[/tex]

Hence, the sum of the 2 smallest angles in a right angled triangle be [tex]90^{0}[/tex].

Learn more about angle sum property of triangle and right angled triangle here

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