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Flashcards: Intersecting Lines and Angles

Two angles are supplementary and have a ratio of 1:4. What is the size of the smaller angle?

$45^{\circ}$ $\displaystyle 45^{\circ}$

$36^{\circ}$ $\displaystyle 36^{\circ}$

$18^{\circ}$ $\displaystyle 18^{\circ}$

$144^{\circ}$ $\displaystyle 144^{\circ}$

$72^{\circ}$ $\displaystyle 72^{\circ}$

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Flashcards: Intersecting Lines and Angles

Two angles are supplementary and have a ratio of 1:4. What is the size of the smaller angle?

$45^{\circ}$ $\displaystyle 45^{\circ}$

$36^{\circ}$ $\displaystyle 36^{\circ}$

$18^{\circ}$ $\displaystyle 18^{\circ}$

$144^{\circ}$ $\displaystyle 144^{\circ}$

$72^{\circ}$ $\displaystyle 72^{\circ}$

Report an Error Copyright Notice

Flashcards: Intersecting Lines and Angles

Two angles are supplementary and have a ratio of 1:4. What is the size of the smaller angle?

Your answer:

$45^{\circ}$ $\displaystyle 45^{\circ}$

Your answer:

$18^{\circ}$ $\displaystyle 18^{\circ}$

Your answer:

$144^{\circ}$ $\displaystyle 144^{\circ}$

Your answer:

$72^{\circ}$ $\displaystyle 72^{\circ}$

Correct answer:

$36^{\circ}$ $\displaystyle 36^{\circ}$

Explanation:

Since the angles are supplementary, their sum is 180 degrees. Because they are in a ratio of 1:4, the following expression could be written:

$x+4x=180$ $\displaystyle x+4x=180$

$5x=180$ $\displaystyle 5x=180$

$x=36^{\circ}$ $\displaystyle x=36^{\circ}$

Flashcards: Intersecting Lines and Angles

Varsity_question

AB and CD are two parrellel lines intersected by line EF. If the measure of angle 1 is 132^o $\displaystyle 132^o$, what is the measure of angle 2?

$132^{\circ}$ $\displaystyle 132^{\circ}$

$48^{\circ}$ $\displaystyle 48^{\circ}$

$64^{\circ}$ $\displaystyle 64^{\circ}$

$24^{\circ}$ $\displaystyle 24^{\circ}$

$180^{\circ}$ $\displaystyle 180^{\circ}$

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Flashcards: Intersecting Lines and Angles

AB and CD are two parrellel lines intersected by line EF. If the measure of angle 1 is 132^o $\displaystyle 132^o$, what is the measure of angle 2?

Your answer:

$48^{\circ}$ $\displaystyle 48^{\circ}$

Your answer:

$64^{\circ}$ $\displaystyle 64^{\circ}$

Your answer:

$24^{\circ}$ $\displaystyle 24^{\circ}$

Your answer:

$180^{\circ}$ $\displaystyle 180^{\circ}$

Correct answer:

$132^{\circ}$ $\displaystyle 132^{\circ}$

Explanation:

The angles are equal. When two parallel lines are intersected by a transversal, the corresponding angles have the same measure.

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