Question

two agent angle of a parallelogram are (2 X + 5 )and ( 3 x - 5). find the value of x​

Answer 1

Correct Question:

Two adjacent angles of a parallelogram are ( 2x + 5 ) and ( 3x - 5). Find the value of x.

Answer

Value of x is 36°

Explanation:

Adjacent angles of a parallelogram are supplementary ( i.e. they add up to 180° ).

⟹ ( 2x + 5 ) + ( 3x - 5) = 180°

⟹ 2x + 3x + 5 - 5 = 180°

⟹ 2x + 3x + 0 = 180°

⟹ ( 2 + 3 )x = 180°

⟹ 5x = 180°

⟹ x = 180°/5

⟹ x = 36°

Value of x is 36°

Double check:

( 2x + 5 ) + ( 3x - 5) = 180°

Substitute 36° in place of x

⟹ 2(36°) + 5 + 3(36°) - 5 = 180°

⟹ 2(36°) + 3(36°) = 180°

⟹ (2 + 3) (36° ) = 180°

⟹ 5 ( 36°) = 180°

⟹ 180° = 180°

Checked.

Answer 2

❖$\huge{\red{\underline{\underline{Question:}}}}$

Two adjacent angle of a parallelogram are (2x + 5) and ( 3 x - 5). Find the value of x .

❖$\huge{\red{\underline{\underline{Solution:}}}}$

We know that, Adjacent angles of triangle are supplementary .

(2x + 5) + ( 3x - 5) = 180°

➤ 2x + 5 + 3x - 5 = 180

➤ 5x = 180

➤ x = 36°

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