Answer:
β = 140 - α
we know that the "missing" angle is 40° since 40 + 140 = 180
we also know that the total sum of angles in a triangle is 180
so β = 180 - 40 - α
or β = 140 - α
Step-by-step explanation:
An angle bisector divides an angle into two equal halves.
The measure of angle
is 70 degrees
The complete question is an illustrates the concept of angle bisector;
Where:
, and line PC bisects 
Because line PC bisects
, then it means that the measure of RPD is twice the measure of CPD:
So, we have:

Substitute 

Divide both sides by 2

Apply symmetric property of equality:

Hence, the measure of angle
is 70 degrees
Read more about angle bisectors at:
brainly.com/question/12896755
Answer:
x = 6 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2+ x^2 = 12^2
36 + x^2 = 144
Subtract 36 from each side
x^2 = 144-36
x^2 =108
Take the square root of each side
sqrt(x^2) = sqrt(108)
x = sqrt(36*3)
x = 6 sqrt(3)
Answer:
2hms+2hns
Step-by-step explanation: