Answer:
Part 1)
Part 2)
Step-by-step explanation:
Step 1
Find the length of MD
we know that
The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle
so
In this problem
------> is the radius of a circle inscribed inside the triangle
we have that
therefore
Step 2
Find the length of DC
we know that
In the right triangle MDC
Applying the Pythagoras theorem
we have
substitute
The picture in the attached figure
we know that
m ∠ 6=123.5°
m ∠6+m∠2=180°-------> by supplementary angles
so
m∠2=180-m∠6-----> 180-123.5------> m∠2=56.5°
m∠1=m∠2--------> by corresponding angles
so
m∠1=56.5°
the answer ism∠1 is 56.5°
Answer:
40 years old
16 years old
Step-by-step explanation:
Son = 8 years old
his father is five times as old.
Father = 5 × 8
= 40 years
How old will the father be when he will be twice as old as his son?
Father = 2 × 8
= 16 years
Father:
Five times as old as son = 40 years old
Twice as old as his son = 16 years old
Answer:The solution is in the attached file
Step-by-step explanation: