Question

20 Points, need help asap

Determine whether the statement is always, sometimes, or never true.

The acute interior angles of a right triangle are complementary.
always
sometimes
never

Answer 1

Always

Explanation:

Let's name the acute angles x and y,

We are given that it's a right triangle so one angle is 90 degrees.

Sums of angles in a triangle add up to 180 degrees.

So,

x+y+90=180

x+y=90

The acute angles add up to 90 degrees so they are complementary.

Answer 2

The acute interior angles of a right triangle are complementary.

Explanation:

that if an acute angle and the obtuse angle is added, its sum is 180 degrees. ⟹ (5θ + 4°) + (θ – 2°) + (3θ + 7°) = 180°. A supplementary angle can be composed of one a cute angle and another obtuse angle. Thanks 0. y = 180 -x. range of x = [1º 89º] then range of y is [91º 179º] so this proves that always the supplementary to acute angle is always obtuse.

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