Question

CALCULATE THE VALUE OF X

Answer 1

Answer:

.

Step-by-step explanation:

In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer 2

Step-by-step explanation:

Solutions :-

a)

Given angles are on the same straight line

They are linear pair

=> 2x+3x = 180°

=> 5x = 180°

=> x = 180°/5

=> x =36°

Therefore, x = 36°

b)

Given angles are forming a right angle

They are complementary angles

=> 4x+5x = 90°

=> 9x = 90°

=> x = 90°/9

=> x = 10°

The value of x = 10°

c)

Given angles are forming a complete angle

We know that

The angle around a point is 360°

=> x+2x+3x+4x = 360°

=> 10x = 360°

=> x = 360°/10

=> x = 36°

The value of x = 36°

ii)

Given angles are in the same straight line

=> 3x-5°+x+20°+65° = 180°

=> 4x+80° = 180°

=> 4x = 180°-80°

=> 4x = 100°

=> x = 100°/4

=> x = 25°

The value of x = 25°

iii)

Given angles are forming a complete angle

We know that

The angle around a point is 360°

x+2x+2x+60° = 360°

=> 5x+60° = 360°

=> 5x = 360°-60°

=> 5x = 300°

=> x = 300°/5

=> x = 60°

The value of x = 60°

Used formulae :-

• The sum of two angles is 90° they are called Complementary angles.
• The sum of two angles is 180° they are called Supplementary angles.
• The angle around a point is 360°