Question

in the figure ABCD is a rectangle and angleBOC=56degree find angle ADO​

Answer 1

Answer:angle abc=56 we know that the all angle of triangle is 180 then 180-56= 124

Step-by-step explanation:

Answer 2

Answer:

angle BOC = 56°

we know that in a rectangle,

» there are two congruent diagonals.

» the diagonals of the rectangle bisect each other and

therefore DO = AO

now,

in ∆DOA,

angle ADO = angle DAO (angles are equal to opposite sides since DO = AO) ------(i)

angle DOA = 56° (vertical opposite angles)

sum of all three interior angles in a triangle = 180°

➡ angle ADO + angle DAO + angle DOA = 180°

➡ angle ADO + angle ADO + 56° = 180° (from equation (i))

➡ 2angleADO = 180° - 56°

➡ 2angleADO = 124°

➡ angle ADO = 124/2

➡ angle ADO = 62°

hence, the measure of angle ADO = 62°

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Hope it helps you!

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