frnz plz tell full solution
Answers
Answer:
Step-by-step explanation:
Answer:
<ADE = 21°
<BDE = 30°
<BED =39°
Step by step explanation:
It is given that, ABcd is a rhombus and ABE is an equilateral triangle,
< BCD=78. therefore <BAD = 78 (opposite angles are equal)
From the figure attached with this answer,
All sides of rhombus and Sides of equilateral triangle are equal
Each angle in the triangle is 60
To find<ADE
<EAB = 60 (angle of equilateral triangle) and <BAD = 78°
<EAD = <EAB + <BAD = 60 + 78 =138°
Since AE = AD, <ADE = <AED
<ADE = 1/2(180 - 138) = 21°
To find <BDE
Triangle BCD is an isosceles triangle,<BCD = 78°
and <BDC = <DBC
<BDC = 1/2(180 - 78) = 51°
<ADC = 180 - 78 = 102°
<BDE = <ADC- <ADE - <BDC = 102 - 51 - 21= 30°
To find <BED
<BED = <AEB - <AED = 60 - 21 = 39°
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