What are the measures of 1 and 2? 37.1 1 2 17.30 121.8°​

The measures of ∠ 1 and ∠ 2.

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We know that,

✒ ∠ x + 121.8° = 180°

✒ ∠ x = 180° - 121.8°

✒ ∠ x = 58.2°

Now,

➪ ∠ 2 + 17.3° + 58.2° = 180°

➪ ∠ 2 + 75.5° = 180°

➪ ∠ 2 = 180° - 75.5°

➪ ∠ 2 = 104.5°

Again,

➵ ∠ 2 + ∠ y = 180°

➵ 104.5° + ∠ y = 180°

➵ ∠ y = 180° - 104.5°

➵ ∠ y = 75.5°

Finally, we have

⇢ ∠ 1 + 75.5° + 37.1° = 180°

⇢ ∠ 1 + 112.6° = 180°

⇢ ∠ 1 = 180° - 112.6°

⇢ ∠ 1 = 67.4°

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