Question

each equal angle of an isosceles triangle is four times the third unequal angel find the measures of all angles of triangle​

Answer 1

Answer:

Let triangle ABC be the isosceles triangle, such that ∠B=∠C=x and AB=AC

Now,

∠B=∠C=4∠A ......(1)

∠A+∠B+∠C=180

o

⇒∠A+4∠A+4∠A=180

o

⇒9∠A=180

o

⇒∠A=

9

180

o

⇒∠A=20

o

∴∠B=∠C=4×20

o

=80

o

Therefore,20

o

,80

o

and 80

o

are the angles of the triangle.

solution