Question

In a quadrilateral ABCD the measure of three angles A, B, C are 110?, 70, 80 degrees then find the measure of the fourth angle D

Answer 1

We know that the sum of all angles of a quadrilateral is equal to 360
Then....
=> A+B+C+D=360
=> 110+70+80+D=360
=> 260+D=360
=> D =360-260
=> D =100

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Answer 2

Answer:

The measure of the fourth angle is 100 degrees.

Step-by-step explanation:

Let,

$\angle$A = 110 degree

$\angle$B = 70 degree

$\angle$C = 80 degree

$\angle$D = x degree = the fourth angle.

We know that the sum of all internal angles of quadrilateral ABCD is 360 degrees.

$\angle$A + $\angle$B + $\angle$C + $\angle$D = 360 degree

110 + 70 + 80 + x = 360 degree

260° + x = 360 degree

x = (360 - 260) degree

x = 100 degree

Therefore, the fourth angle is 100 degrees.

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https://brainly.in/question/24555917?source=quick-results&auto-scroll=true&q=find%20the%20measure%20of%20the%20fourth%20angle%20D

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