Question

if two adjacent angles of a parallelogram are X and X + 30 then x is equal to​

Answer 1

75 degrees

Step-by-step explanation:

the sum of adjacent angles in a parallelogram is 180 degrees

x+x+30=180

2x=180-30

x=75degrees.

Answer 2

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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