Question

Two adjacent angles of a parallelogram are (4x + 1)° and (x + 4)°. Find x.​

Answer 1

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★ Solution :- ★

Given ,

Adjacent angles

• ( 4x + 1 )°
• ( x + 4 )°

We need to find,

• x = ?

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As we know that

Sum of adjacent angles in a quadrilateral is always equal to 180°

Now , as here given that adjacent angles are (4x + 1)° & (x + 4)°

➮ (x + 4)° + (4x + 1)° = 180°

➮ 5x + 5° = 180°

➮ 5x = 180° - 5°

➮ 5x = 175°

➮ x = 175° ÷ 5

➮ x = 35°

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Hence , the value of x is 35°

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Answer 2

AnsWer :

• We have given that, Two adjacent angles of a parallelogram are (4x + 1)° and (x + 4)°. So, as we know that, the adjacent sides of parallelogram are linear and sum of adjacent angles in a quadrilateral is 180° :]

➳ (4x + 1) + (x + 4) = 180°

➳ 4x + 1 + x + 4 = 180°

➳ 5x + 5 = 180°

[Now, Moving 5 towards RHS]

➳ 5x = 180° - 5°

➳ 5x = 175

➳ x = 175/5

➳ x = 35°

Therefore,the value of x is 35°.