Question

For each part below, use the figure to fill in the blank.

If necessary, you may learn what the markings on a figure indicate.
(a) Find AB
(b) Find mZF.
B
B
D
600
F
A
60°
400
60°
c
E
AB = 0
mZF = °

Answer 1

a. AB = 6

b. m<F = 70°

Explanation:

a. Triangle ABC is an equilateral triangle because all three angles are equal to 60° each. Therefore, all three sides would also be equal to each other.

Thus, since one of the sides, BC = 6, therefore:

AB = BC = 6

b. The markings indicate that two sides of ∆EDF (ED & EF) are equal in length. This means that ∆EDF is an isosceles having two equal base angles (<F and <D).

This:

m<F = (180 - m<E)/2

m<F = (180 - 40)/2

m<F = (140)/2

m<F = 70°