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what- complete blank 1 and blank 2 for the following proof that the acute angles of a right triangle are complementary?
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Can an obtuse triangle have two complementary interior angles?
No. A triangle with two complementary interior angles will always result into right triangle. The sum of the complementary angles will always be 90 degrees and the other one will be 90 too.
Are the acute angles of a right triangle complementary?
Yes.
Can two angles of a right triangle be complementary?
The two angles, other than the right angle itself, MUST be complementary.
what- It follows from the Triangle Sum Theorem that the acute angles of a right triangle are?
complementary
Are the two acute angles in a right triangle supplementary?
No, they are complementary angles. Supplementary angles sum to 180o Complementary angles sum to 90o. The three angles of a triangle sum to 180o. If one is 90o (the right angle), then the other two sum to 180o - 90o = 90o and so are complementary.
What property of two acute angles of a right triangle have?
They are complementary.
What if two angles of a triangle are complemenatr what is the measure of the third angle?
The sum of two complementary angles is 90 degrees. The three angles of a triangle add up to 180 degrees. Hence, if you subtract the complementary angles from 180, you have the measure of the third angle: 180 - 90 = 90 (this is the third angle) As a rule, if two angles of a triangle are complementary, the third angle is a right angle (90 deg). The three angles together form a right triangle.
What is form when two complementary angles share one ray?
The complementary angles form a right angle with the shared ray.
Explain the difference between the following pairs of complementary angles and supplementary angles?
Complementary angles sum to 90o Supplementary angles sum to 180o
What are some examples of complementary angles?
ANY two angles that total 90o, eg the "other" angles in a right-angled triangle.
If two angles of a triangle are complementary find the number of degrees in the third angle?
90
Can a right triangle be an obtuse triangle?
No, in a right triangle, the other two angles are complementary so they are both less than 90 degrees.
