Ashley is solving for the missing angles below. The given information is that ∠1=136°. Her conjecture is that ∠4 is congruent to ∠1 and she will be able use that to solve for the other missing angles. To solve for the missing angles, she first identifies that ∠4 is a vertical angle to ∠1, so it measures as 136° as well.

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Q: 38° 16 m 110°

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.