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°
