Question

The adjacent angles of a
rhombus are in the ratio 1:3. find
all the angles of a rhombus.​

Answer 1

Answer:

Step-by-step explanation:

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,

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

Answer 2

Answer:

let the ratio b 1 X :3x

we know that opposite sides of a rhombus are equal

according to the question,

1x+3x+1x+3x=360° (angle sum property)

8x=360°

x=360°/8=40°

the angles are:-40°,40°,120°,120°[Answer]

Step-by-step explanation:

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