Question

the base of an isosceles triangle is 24 more than the vertical angle. find the measurements of each angle

Answer 1

Answer:

44° , 68°, 68°

Step-by-step explanation:

let the vertical angle be x

the base angles will be = x + 24

base angles of isosceles triangle are equal

sum of all angles of triangle is 180°

x + x + 24 + x + 24 = 180

3x + 48 = 180

3x = 180 - 48

3x = 132

x = 132/3

x = 44°

vertical angle = 44°

one of the base angle = x + 24 = 44 + 24 = 68°

other base angle = x + 24 = 44 + 24 = 68°

proof

= 44 + 68 + 68

= 44 + 136

= 180

hope you get your answer