Saved Bookmarks
| 1. |
8. In a rhombus ABCD, AC = AD. Find the measurements of angle b and angle c |
|
Answer» Here, ABCD is a rhombus.⇒ AC=AB [ GIVEN ]⇒ AB=BC=CD=DA [ Sides of rhombus are EQUAL ]∴ AB=BC=CD=DA=AC In △ACD,⇒ AC=CD=DA∴ △ACD is an equilateral triangle.∴ ∠D=60 o [ Angle of an equilateral triangle ]We KNOW that rhombus is also a parallelogram,⇒ ∠D+∠A=180 o [ Sum of adjacent angles of a parallelogram is 180 o ]⇒ 60 o +∠A=180 o ∴ ∠D=120 o ∴ ∠BAD=120 o |
|