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Flashcards: Line and Angle Understanding and Applications

What does it mean for two angles to be complementary angles?

Complementary angles are any two angles in a triangle that sum to be 180

Complementary angles are any two angles in a triangle that sum to be 90

Complementary angles are any two angles that sum to be 180

Complementary angles are any two angles that sum to be 90

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All Common Core: High School - Geometry Resources

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Flashcards: Line and Angle Understanding and Applications

What does it mean for two angles to be complementary angles?

Complementary angles are any two angles in a triangle that sum to be 180

Complementary angles are any two angles in a triangle that sum to be 90

Complementary angles are any two angles that sum to be 180

Complementary angles are any two angles that sum to be 90

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Flashcards: Line and Angle Understanding and Applications

What does it mean for two angles to be complementary angles?

Your answer:

Complementary angles are any two angles in a triangle that sum to be 180

Your answer:

Complementary angles are any two angles in a triangle that sum to be 90

Your answer:

Complementary angles are any two angles that sum to be 180

Correct answer:

Complementary angles are any two angles that sum to be 90

Explanation:

The definition of complementary angles is: any two angles that sum to 90. We most often see these angles as the two angles in a right triangle that are not the right angle. These two angles do not have to only be in right triangles, however. Complementary triangles are any pair of angles that add up to be 90.

Flashcards: Line and Angle Understanding and Applications

Solve for angle 1.

Screen shot 2020 08 26 at 4.22.45 pm

$\angle 1=130$ $\displaystyle \angle 1=130$

$\angle 1=50$ $\displaystyle \angle 1=50$

$\angle 1=30$ $\displaystyle \angle 1=30$

$\angle 1=150$ $\displaystyle \angle 1=150$

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Flashcards: Line and Angle Understanding and Applications

Solve for angle 1.

Screen shot 2020 08 26 at 4.22.45 pm

Your answer:

$\angle 1=50$ $\displaystyle \angle 1=50$

Your answer:

$\angle 1=30$ $\displaystyle \angle 1=30$

Your answer:

$\angle 1=150$ $\displaystyle \angle 1=150$

Correct answer:

$\angle 1=130$ $\displaystyle \angle 1=130$

Explanation:

Even though it may not be obvious at first, the given angle is actually a supplementary angle to angle 1. This is because the given angle is corresponding (and therefore congruent) angles to the angle adjacent to angle 1. Since they are supplementary we can set up the following equation.

$\angle 1+50=180$ $\displaystyle \angle 1+50=180$

$\angle 1=130$ $\displaystyle \angle 1=130$

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Flashcards: Line and Angle Understanding and Applications

All Common Core: High School - Geometry Resources

Flashcards: Line and Angle Understanding and Applications

Flashcards: Line and Angle Understanding and Applications

Flashcards: Line and Angle Understanding and Applications

Flashcards: Line and Angle Understanding and Applications

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