Question

15. A diagonal and a side of a rhombus are of equal length. Find the measure of all angles of the rhombus​

Answer 1

abcd is rhombus

draw a pic

ac will be a diagonal

ac = ad = dc

triangle adc will be a equilateral triangle all its sides r equal

A = angle

A adc = 60⁰

A cba = 60⁰ (opposite angles)

A dcb = 180 - 60 = 120⁰ ( adjacent angles are supplementary)

A bad = 120⁰ ( opposite angles)

A d = 60⁰

A b = 60⁰

A c = 120⁰

A a = 20⁰