Show Me! Given: OWINS is a parallelogram with ZW is a right angle. Prove: Z1, ZN, and ZS are right angles. Proof: Statements Reasons 1. 1. Given 2 ZW = 90 m 2. 3. 3. In a parallelogram, opposite angles are congruent. 4. m ZW = m ZN m Z1 = m ZS 4. 5. m ZN = 90 m 5. %3D 6. m ZW + m Z1 = 180 6. 7. 90+m 1= 180 7. 8. Reflexive Property 8. 9. 9 m Z1 90 10. Substitution (SN 4 and 9) 10. 11. 11. 21, ZN, and ZS are right angles. 12. Definition of rectangle. 12.

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Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.