Question

if m angle 1 =105° find m angle 4 m angle 5 and m angle 8 Indicate which property is used​

Answer 1

Step-by-step explanation:

the above image has your answer

Answer 2

Given,

The diagram and the value of angle 1 as 105°.

To find,

The value of angle 4 and angle 5 along with the name of the property used.

Solution,

The value of angle 4, angle 5 and angle 8 will be 105°, 105° and 105° respectively. (The names of the properties used are underlined.)

According to the question,

Angle 1 = 105°

The value of angle 4 will also be 105° because angle 1 and angle 4 are vertically opposite angles.

Angle 4 = 105°

Now,

Angle 4 = angle 5 (alternate interior angles as one line is passing through two parallel lines)

So,

Angle 5 = 105°

Now,

Angle 5 = angle 8 (again vertically opposite angles)

So,

Angle 8 = 105°

Hence, the value of angle 4, angle 5 and angle 8 is 105°, 105° and 105° respectively.