Question

Two base angles of an isosceles triangle measure (3x + 2) and (5x – 30) degrees. How many degrees are in the third angle of the triangle? Be sure to use the correct place value.

Answer 1

Answer:

Step-by-step explanation:

Note that the base angle of an isosceles triangle is equal hence;

3x+2 = 5x-30

3x - 5x = -30-2

-2x = -32

x = -32/-2

x = 16

Hence one of the base angle = 3(16)+2 = 50degrees

The sum of angle in the triangle is 180, hence

50+50+y = 180

100 + y = 180

y = 80 degrees

Hence the third angle is 80 degrees