Question

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answer 1

Answer:

Given rhombus ABCD with

• m∠EAD = 67°, CE = 5, DE = 12

Properties of a rhombus:

• All sides are congruent
• Diagonals are perpendicular
• Diagonals are angle bisectors
• Diagonals bisect each other

Solution, considering the above properties

• 1. m∠AED = 90°, as angle between diagonals
• 2. m∠ADE = 90° - 67° = 23° as complementary of ∠EAD
• 3. m∠BAE = 67°, as ∠BAE ≅ ∠EAD
• 4. AE = CE = 5, as E is midpoint of AC
• 5. BE = DE = 12, as E is midpoint of BD