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
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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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Then....
=> A+B+C+D=360
=> 110+70+80+D=360
=> 260+D=360
=> D =360-260
=> D =100
HOPE THIS WILL HELP U
♥️ PLEASE MARK AS BRAINLIST ♥️
shivam10sep:
thanks
Answered by
5
Answer:
The measure of the fourth angle is 100 degrees.
Step-by-step explanation:
Let,
A = 110 degree
B = 70 degree
C = 80 degree
D = x degree = the fourth angle.
We know that the sum of all internal angles of quadrilateral ABCD is 360 degrees.
A + B + C + 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.
Refer to the links below for more problems:
https://brainly.in/question/24555917?source=quick-results&auto-scroll=true&q=find%20the%20measure%20of%20the%20fourth%20angle%20D
https://brainly.in/question/30063711?referrer=searchResults
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