Question

In The Given Figure L II M, AND T is Transversal. If 1 and 2 are in The Ratio 5:7. Find The Measure Of EACH of the Angles 1, 5 and 7

Guys Plz Help Me​​

Answer 1

Answer:

the measure of angle 1,5,7 are 75°, 75°, 105° respectively.

Step-by-step explanation:

let's consider the measure of angles are 'x'

angle 1 = 5x

angle 2 = 7x

5x+7x=180°.....angles in linear pair.

12x = 180°

x = 180/12

= 15

angle 1 = 5x = 5×15

= 75°

angle 2 = 7x = 7×15

= 105°

=> angle 5 = angle 1...... corresponding angles

= 75°

=>angle 7 = angle 2 ....... vertically opposite angles

= 105°

Answer 2

Step-by-step explanation:

Ratio of 1 and 2 =5:7

let the angle be x

5x +7x=180°

12x=180°

x=180°/12

x=15°

angle 1 = 7×15°

=105°

angle 2= 5×12°

=75°

as l and t make a vertically opposite angle

also m and t make another vertically opposite angle.

then,

angle 2 = 4 = 6 =7

and ,

angle 1 = 3 =5 =8

so,

angle 2=75°

angle 4=75°

angle 6=75°

angle 7=75°

angle 1=105°

angle 3=105°

angle 5=105°

angle 8=105°

hope it will be helpful