Question

ABCD is a rhombus if angle ACB is equal to 35 degree then angle ADB is​

Answer 1

Answer:

ACB = 125 degree..........

Answer 2

Given,

ABCD is a rhombus.

Angle ACB = 35°

To find,

The value of Angle ADB.

Solution,

The value of angle ADB will be 55°.

We can easily solve this problem by following the given steps.

We know that in a rhombus all four sides are equal but the four angles are not right angles and the opposite sides are parallel.

According to the question,

Angle ACB = 35°

So, there are two diagonal in this rhombus, AC and BD which are intersecting at right angles. (Because the diagonals of a rhombus intersect each other at 90°.)

Let's take their point of interaction to be O.

Now, we know that sum of the three angles in a triangle is 180°.

In ∆ COB,

Angle (OCB+CBO+COB) = 180°

(35+CBO+90) = 180°

Angle CBO+125 = 180°

Angle CBO = (180-125)°

Angle CBO = 55°

So, angle CBD = 55°

Now, CD and AB are parallel lines. So, angle CBD and angle ADB are alternate interior angles and therefore are equal.

Angle CBD = Angle ADB = 55°

Hence, the value of angle ADB is 55°.