Question

Find the value of x​

Answer 1

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Given :

• ∠A = 90°

• ∠B = 120°

• ∠C = 100°

• ∠E = 108°

To Find :

• Value of x

Solution :

➨ Sum of all angles of pentagon = 540°

➨ ∠A + ∠B + ∠C + ∠D + ∠E = 540°

➨ 90° + 120° + 100° + ∠D + 108° = 540°

➨ ∠D + 418° = 540°

➨ ∠D = 540° - 418°

➨ ∠D = 122°

Now, ∠D + x = 180° [ Linear Pair ]

➨ 122° + x = 180°

➨ x = 180° - 122°

➨ x = 58°

Additionally :

• The expression on the left of the equality sign is the Left Hand Side (LHS). The expression on the right of the equality sign is the Right Hand Side (RHS)

• A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a variable.

• Solving an equation means determining its root ie. to determine the value of the variable which satisfies it.

Answer 2

Answer:

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┗─━─━─━─━∞◆∞━─━─━─━─┛

Given :

∠A = 90°

∠B = 120°

∠C = 100°

∠E = 108°

To Find :

Value of x

Solution :

➨ Sum of all angles of pentagon = 540°

➨ ∠A + ∠B + ∠C + ∠D + ∠E = 540°

➨ 90° + 120° + 100° + ∠D + 108° = 540°

➨ ∠D + 418° = 540°

➨ ∠D = 540° - 418°

➨ ∠D = 122°

Now, ∠D + x = 180° [ Linear Pair ]

➨ 122° + x = 180°

➨ x = 180° - 122°

➨ x = 58°

Additionally :

The expression on the left of the equality sign is the Left Hand Side (LHS). The expression on the right of the equality sign is the Right Hand Side (RHS)

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a variable.

Solving an equation means determining its root ie. to determine the value of the variable which satisfies it.

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