Question

Two interior angles on the same side of the transversal measure (x-8) ° and (5x -4) °. Find the measure of each angle if the lines are parallel

Answer 1

Given :-

• Two interior angles on the same side of the transversal measure (x - 8)° and (5x - 4)°

To Find :-

• Measure of each angles

Answer :-

• First angle = 24°
• Second angle = 156°

Explaination :-

• As we know that, angles on the same side of the transverval is equal to 180°.

❍ According to Question :-

→ (x - 8)° + (5x - 4)° = 180°

→ x - 8 + 5x - 4 = 180°

→ 6x - 12 = 180°

→ 6x = 180 + 12

→ 6x = 192

→ x = 192 ÷ 6

→ x = 32°

Hence,

• First angle = x - 8 = 32 - 8 = 24°
• Second angle = 5x - 4 = 5(32) - 4 = 160 - 4 = 156°

Answer 2

Given :

Two interior angles on the same side of the transversal measure (x-8) ° and (5x -4) °.

To Find :

Measure of Each Angle if the lines are parallel .

Solution :

x - 8 + 5x - 4 = 180°

x + 5x - 8 - 4 = 180°

6x - 12 = 180°

6x = 180 + 12

6x = 192

x = 192/6

$\sf{x=32^{\circ}}$

So , The value of x is 32° .

Hence :

First Angle = x - 8

= 32 - 8

= 24°

Second Angle = 5x - 4

= 5(32) - 4

= 156°