Question

Determine if the angles are vertical, complementary, or supplementary, and then solve for x. *

x=5
x=16
x=14
x=45

Answer 1

x = 14

Explanation:

___________________________________________________________

FACTS TO KNOW :-

• Linear Pair is a pair of adjacent angles on a straight line whose sum is 180°
• All linear pairs are supplementary angles (because their sum is 180°) but all supplementary angles are not linear pairs.

___________________________________________________________

In the question , the given angles are supplementary angles because both (3x)° & (7x + 40)° are adjacent to each other and they are on a straight line.

As they are supplementary angles , their sum will be 180°.

So ,

`(3x) + (7x + 40) = 180`

`=> 3x + 7x + 40 = 180`

`=> 10x + 40 = 180`

Substracting 40 from both the sides ,

`=> 10x + 40 - 40 = 180 - 40`

`=> 10x = 140`

Dividing both the sides by 10 ,

`=> (10x)/(10) = (140)/(10)`

`=> x = 14`