if two adjacent angles of a parallelogram are X and (X+30) then X=
Answers
Answer:
x=75
Step-by-step explanation:
x+x+30=180
2x+30=180
2x=180-30
2x=150
x=150/2
x=75
If two adjacent angles of a parallelogram are X and X + 30° then X is equal to 75°
Given :
Two adjacent angles of a parallelogram are X and X + 30°
To find :
The value of X
Solution :
Step 1 of 2 :
Write down the given data
Here it is given that two adjacent angles of a parallelogram are X and X + 30°
Step 2 of 2 :
Find the value of X
We know that in a parallelogram the adjacent angles are supplementary
Thus we get
X + X + 30° = 180°
⇒ 2X + 30° = 180°
⇒ 2X = 180° - 30°
⇒ 2X = 150°
⇒ X = 75°
Hence the required value of X = 75°
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