In the adjoining figure the value of x is
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Answered by
51
Hey user
Here is your answer :-
In the given figure angles are supplymentory I.e. their sum is 180.
Hence we get equation
3x + 20 + 4x - 36 = 100
7x - 16 = 100
7x = 100 + 16
7x = 116
x = 116/7
x = 18
Hence the value of x is " 18 " .
Here is your answer :-
In the given figure angles are supplymentory I.e. their sum is 180.
Hence we get equation
3x + 20 + 4x - 36 = 100
7x - 16 = 100
7x = 100 + 16
7x = 116
x = 116/7
x = 18
Hence the value of x is " 18 " .
siddhartharao77:
Their sum = 180!
Answered by
9
Answer:
In the adjoining figure, the value of x is 18.
Step-by-step explanation:
We have a figure in which a line segment is drawn named PQ and one line is drawn from point O on line segment PQ to the point R such that
∠POR = (3x+20)°
and ∠QOR = (4x - 36)°
Step 1 of 2
Now we know that sum of all angles which comprise one straight line is 180°.
Then from the given condition, we can write that
∠POR + ∠QOR = 180°
And the measure of both angles is given as per in question.
Step 2 of 2
Now by putting the values of both the angles we get the following as
(3x + 20) + (4x - 36) = 180
⇒3x + 20 + 4x - 36 = 180
⇒7x -16 = 180
⇒7x = 180 + 16
⇒7x = 196
⇒x = 196/7
⇒x = 28
Hence the value of x in the adjoining figure is 28
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