Find the value of x
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┏─━─━─━─━∞◆∞━─━─━─━─┓ ✭✮ӇЄƦЄ ƖƧ ƳƠƲƦ ƛƝƧƜЄƦ✮✭
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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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┏─━─━─━─━∞◆∞━─━─━─━─┓ ✭✮ӇЄƦЄ ƖƧ ƳƠƲƦ ƛƝƧƜЄƦ✮✭
┗─━─━─━─━∞◆∞━─━─━─━─┛
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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