Question

Find angle ADC from the given figure

Answer 1

Step-by-step explanation:

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Answer 2

Concept:

Angle is the point of intersection of two rays, and is measured in degrees.

Given:

We have,

∠A = 30°,

∠B = 50°,

And ∠C = 55°

Find:

We are asked to find the angle ADC from the given figure.

Solution:

So,

We have,

∠A = 30°,

∠B = 50°,

And ∠C = 55°

Now,

We know that in a quadrilateral the sum of all angles is 360°.

So,

According to the given figure,

∠A  + ∠B + ∠C + ∠D = 360°

Now,

Putting the values of the given angles,

i.e.

30° + 50° + 55° + ∠D = 360°

NOw,

We get,

∠D = 360° - 135°

i.e.

∠D = 225°

Now,

∠ADC is the reflexive angle of ∠D,

So,

∠ADC = 360° - 225°

i.e.

∠ADC = 135°

Hence, the value of ∠ADC is 135°.

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