Question

In a quadrilateral ABCD if angle A=100,angle B=60,angle c=60 then find angle D

Answer 1

Answer:

140 is the answer

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Answer 2

Answer: - 140 degrees.

Detailed solution: -

Given: -

ABCD is a quadrilateral.

In this quadrilateral ABCD,

Angle A (∠A) = 100 degrees

Angle B (∠B) = 60 degrees

And,

Angle C (∠C) = 60 degrees

We need to find the value of the angle D (∠D).

To find the value of the angle D in the given quadrilateral, we have to add all the angles given of the quadrilateral and then subtract the sum of the angles from 360 degrees as the sum of all the angles of a quadrilateral is equal to 360 degrees.

Therefore,

The sum of all the angles of a quadrilateral = 360 degrees

So,

According to the question given,

∠A + ∠B + ∠C + ∠D = 360 degrees

100 degrees + 60 degrees + 60 degrees + ∠D = 360 degrees

220 degrees + ∠D = 360 degrees

(220 degrees will shift to the right side of the equal to sign and the + sign will change to -)

∠D = 360 degrees - 220 degrees

∠D = 140 degrees

Therefore,

Angle D of the given quadrilateral = 140 degrees

To know more about the topic, visit the below links: -

https://brainly.in/question/34059173

https://brainly.in/question/53350476

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