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Consider the Triangle Sum Theorem in relation to a right triangle. What conjecture can you make about the two acute angles of a right triangle? They must be:

Consider the Triangle Sum Theorem in relation to a right triangle. What conjecture can you make about the two acute angles of a right triangle? They must be:​ class=

Answer :

they must be complementary. these 2 angles MUST equal 90 degrees because there is a right angle that is 90 degrees in the triangle already and all triangles have an angle sum of 180 degrees. the answer is complementary
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The sum of complementary angles is 90 degrees, hence we can conclude that the sum of the two acute angles are complementary

First, we must understand that the sum of the interior angle of a triangle is 180 degrees.

If the triangle is right angled, hence;

x + y + 90 = 180

The angles x and y are the other two acute angles of the triangle.

From the expression above,

x + y = 180 - 90

x + y = 90

Since the sum of complementary angles is 90 degrees, hence we can conclude that the sum of the two acute angles are complementary

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