Question

If ( 4x+35°) and ( 3x - 15°) form a straight line, then find the value of x. What special name given to these types of angles?

Answer 1

Answer:

The value of x is $22.86^{\circ}$

Explanation:

If ( 4x+35°) and ( 3x - 15°) form a straight line, then find the value of x. What special name given to these types of angles?

The given angles $4x+35^{\circ}\:and\:3x-15^{\circ}$ are called Linear pair

since the angles are linear pair, their sum is $180^{\circ}$

$\implies\:4x+35^{\circ}+3x-15^{\circ}=180^{\circ}$

$\implies\:7x+20^{\circ}=180^{\circ}$

$\implies\:7x=180^{\circ}-20^{\circ}$

$\implies\:7x=160^{\circ}$

$\implies\:x=\frac{160^{\circ}}{7}$

$\implies\:x=22.86^{\circ}$

Answer 2

$\large\bf \underline{ \color{gold}{Answer:}}$

The value of x is $22.86^{\circ}$

$\large \bf \underline{ \color{gold}{Explanation:}}$

If ( 4x+35°) and ( 3x - 15°) form a straight line, then Find the value of x.

What special name given to these types of angles ?

The given angles $4x+35^{\circ}\:and\:3x-15^{\circ}$are called Linear pair.

Since the angles are linear pair, their sum is $180^{\circ}$

$\implies\:{\color{red}4x+35^{\circ}+3x-15^{\circ}=180^{\circ}}$

$\implies\:{\color{orange}7x+20^{\circ}=180^{\circ}}$

$\implies\:{\color{gold}7x=180^{\circ}-20^{\circ}}$

$\implies\:{\color{deepskyblue}7x=160^{\circ}}$

$\implies\:{\purple x=\frac{160^{\circ}}{7}}$

$\implies\:{\pink x=22.86^{\circ}}$