Internal measure of a triangle is 180 degrees
base angles of an isosceles triangle are =
therefore each base angle is 4x
4x+4x+x=180
9x= 180
x=20
vertex angle= 20
36 inches of rope will be left because 6*8 is 48 and you subtract 48 from 84 to get 36.
Answer:
Step-by-step explanation:
step 1
Find the measure of the arc DC
we know that
The inscribed angle measures half of the arc comprising
substitute the values
step 2
Find the measure of arc BC
we know that
----> because the diameter BD divide the circle into two equal parts
step 3
Find the measure of angle BDC
we know that
The inscribed angle measures half of the arc comprising
substitute the values
therefore
The triangle DBC is a right triangle ---> 60°-30°-90°
step 4
Find the measure of BC
we know that
In the right triangle DBC
substitute the values