Question

In rhombus ABCD :(i) angle A =74°;find angle B angle C .

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Answer 1

IN RHOMBUS WE KNOW THAT -

OPPOSITE ANGLES AR EQUAL -

SO, A=C = 74 degree

and we also know ,-
A+B = 180 (collinear angles)
B = 106degrees

✌️hope it helps u ✌️

Answer 2

Given, ∠A = 74°.

We know that In a rhombus any two consecutive internal angles are supplementary(180°).

⇒ ∠A + ∠B = 180°

⇒ 74° + ∠B = 180°

⇒ ∠B = 180° - 74°

⇒ ∠B = 106°.

We know that opposite angles of a rhombus have equal measure.

⇒ ∠A = ∠C = 74°.

⇒ ∠B = ∠D = 106°.

Therefore:

⇒ ∠B = 106°

⇒ ∠C = 74°

Hope it helps!