Question

two adjacent angles of a rhombus are in the ratio of 1:5 find the angle of the rhombus?????

Answer 1

Given that :-
Ratio of adjacent angles is 1:5

So,

We know that in rhombus :-

Opposite sides are parallel and adjacent sides are equal.

As in figure:-

Since AD is parallel to BC

So,

Angle A + Angle B = 180
SUM OF CO INTERIOR ANGLES

So,

Let angle A be x and Angle B be 5x

So,

$x + 5x = 180 \\ \\ 6x = 180 \\ \\ x = \frac{180}{6} = 30 \\ \\ x = 30 \\ \\ 5x = 5 \times 30 = 150$


So,

Angle A = 30 degrees

Angle B = 150 degrees


Since,

Opposite angles of rhombus are equal

So,
Angle D = 150 degrees

Angle C = 30 degrees