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If they are congruent, they have the same measure.

If they are complementary, their sum is 90 degrees.

So each one of them must be a half of 90 degrees.

That is, 45 degrees each.

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βˆ™ 10y ago
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Q: Why do two congruent angles that are complementary both measure 45 degrees?
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Related questions

Do two congruent angles that are complementary both measure 45 degrees?

always


What is the measurement of each angles are congruent and complementary?

If 2 angles are congruent and complementary, they must each be 45 degrees.


Are congruent angles always 45ΒΊ?

No, not all congruent angles are 45 degrees. They only are in complementary congruent angles.


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Vertical angles must be congruent so if they are complementary, they must be 45 degrees to be complementary.


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Are alternate interior angles complementary?

Not NecessarilyAlternate interior angles are congruent, or equal. They have the same angle measure, while complementary means they add up to 90 degrees. Therefore, the only time alternate interior angles are complementary is when they are exactly 45 degrees.


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It is always true because two congruent angles that are complementary both measure 45 degrees.


Congruent angles always add up to 90 degrees?

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If two angles are congruent and complementary then is the measure of each is 45?

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