Question

In rhombus ABCD , m∠ECD=31∘ .

What is m∠ADE ?

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Answer 1

angle ADE=59°

Explanation:

ECD=EAD=31°...[Base angles are equal in an isosceles triangle]

[∆ADC is isosceles]

EAD+ECD+ADC= 180°[Angles in a triangle add upto 180°]

so, ADC= 180-(31+31)= 118°

ADE= 118÷2[BD perpendicularly bisects ADC]

=59°

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