Question

Find the measures of the numbered angles in rhombus ABCD.

Answer 1

∠1=66⁰

∠2=24⁰

∠3=24⁰

∠4=90⁰

Explanation:

∠2=∠ADB=24 (ΔADB is isosceles, so ∠ADB=∠ABD)

∠4 =90 (right angle)

∠3=24 (BD bisects ∠ABC, so ∠2=∠3)

∠1+∠2+90=180 (angles in triangle add to 180)

∠1=66