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ioda
2 years ago
11

The following angles are supplementary find the missing angle measure

Mathematics
1 answer:
nekit [7.7K]2 years ago
6 0

Answer:

<em>x = 62°, y = 103°</em>

Step-by-step explanation:

<u>Supplementary Angles</u>

Two angles are called <em>supplementary</em> when their measures add up to 180 degrees.

The image shows two pairs of supplementary angles. We have to find the value of the unknown variable.

The first drawing shows supplementary angles x and 118°. They must satisfy the equation:

x + 118° = 180°

Subtracting 118°:

x = 180° - 118°

x = 62°

From the second drawing, we set up the equation:

y + 77° = 180°

Subtracting 77°:

y = 180° - 77°

y = 103°

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