Given
def of congruent polygons
def of congruent polygons
def of congruent polygons
dad of congruent polygons
segment addition postulate
segment addition postulate
substitution property of equality
substitution property of equality
SAS congruence
Answer:
5 times
Step-by-step explanation:
5*0=5... 5*1=5... 5*2=10... 5*3=15... 5*4=20
We know that Angle Bisector Divides an Angle into Two Equal Angles.
As UP is the Angle Bisector of Angle U, It Divides Angle U into two Equal Parts they are Angle(1) and Angle(2)
⇒ Angle(1) = Angle(2)
Given Angle(1) = 5x + 10 and Angle(2) = 3x + 14
⇒ 5x + 10 = 3x + 14
⇒ 2x = 4
⇒ x = 2
⇒ Angle(1) = 5x + 10 = 5(2) + 10 = 10 + 10 = 20
So : Measure of Angle(1) is 20
To find the length of line cf, I first created a square and labeled the vertices a b c d. From here you know the triangle shares the vertice b. I used the lines on the square to add point e. The distance between a and e was 2, leaving us with a distance of 4 from a to b.. I used the 4 to find the missing height. knowing that the total area was 20, the height had to be 10. I extended side cb of the triangle and made a point f. The extra part measured 4 units because the side of the square was 6, so to get 10 I needed 4 more units. I have attached a picture showing this.