# Name the angles and their intercepted arcs in the figure below.

Answers: 3

## Answers

Name the angles and their intercepted arcs in the figure below....

Answers: 3

Name the angles and their intercepted arcs in the figure below....

answer:

vertex angle is 66°

step-by-step explanation:

in an isosceles triangle the two base angles are congruent. the third angle is the vertex angle. in any triangle the sum of the three angles will be 180°.

let v = the vertex angle

let b = each of the base angles

v + b + b = 180°

v = b + 9 (the vertex angle of an isosceles triangle is 9 degrees more than a base angle)

substitute b + 9 for v, in the equation v + b + b = 180°

(b + 9) + b + b = 180° combine like terms to simplify

3b + 9 = 180° subtract 9 from both sides

3b = 171° divide both sides by 3

b = 57°

v = b + 9° => v = 57° + 9° = 66°

check: 57° + 57° + 66° = 180°

answer:

about