Question

abcd is a rhombus with angle abc =54° determine angle bcd​

Answer 1

Sum of sides of adjacent angles of rhombus is equal to 180 degrees

Angle abc + Angle bcd = 180

54 + Angle bcd = 180

Angle bcd = 180 - 54

Angle bcd = 126

Hope it helps you.

Answer 2

Step-by-step explanation:

$\huge\mathrm\star\fbox{Answer:-}\star$

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$\huge\mathrm\star\fbox{Solution:-}\star$

$\leadsto$ $\mathrm\purple{\angle{BCD}\ =\ 126⁰}$

$\huge\mathrm\star\fbox{Explanation:-}\star$

$\leadsto$ $\mathrm\purple{The\ consecutive\ angles\ of\ a\ rhombus\ are\ supplementary}$

$\leadsto$ $\mathrm\purple{\angle{BCD}\ =\ 180⁰\ -\ \angle{ABC}}$

$\leadsto$ $\mathrm\purple{=\ 180⁰\ -\ 54⁰}$

$\leadsto$ $\mathrm\purple{=\ 126⁰}$

$\leadsto$ $\therefore$ $\mathrm\purple{\angle{BCD}\ =\ 126⁰}$

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$\huge\mathrm\star\fbox{Hence,\ Solved}\star$