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semsee45

Answer:

1. 130°

2. 65°

3. 158°

4. 135°

5. 135°

Step-by-step explanation:

Let x be the unknown angle

1. Congruent angles are marked with a dash

Sum of interior angles of a 5-sided polygon is 540°

⇒ x + 90 + 110 + 100 + 110 = 540

⇒ x = 130°

2. Congruent angles are marked with a dash

Sum of interior angles of a triangle is 180°

⇒ 2x + 50 = 180

⇒ x = 65°

3. Sum of interior angles of a 5-sided polygon is 540°

⇒ x + 76 + 90 + 90 + 126 = 540

⇒ x = 158°

4. Congruent angles are marked with a dash

Sum of interior angles of a 6-sided polygon is 720°

⇒ 4x + 90 + 90 = 720

⇒ x = 135°

5. Congruent angles are marked with a dash

Sum of interior angles of a 8-sided polygon is 1080°

⇒ 8x = 1080

⇒ x = 135°

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