emilystar123 emilystar123

16-03-2021
Mathematics

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Find the measures of the numbered angles in rhombus ABCD.

Find the measures of the numbered angles in rhombus ABCD class=

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16-03-2021

Answer:

∠1=66⁰

∠2=24⁰

∠3=24⁰

∠4=90⁰

Step-by-step 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

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