Question

base angles by 18°. Find the angles of the triangle 54
. One angle of a right-angled triangle is one-fourth
the other. Find the angles of the triangle.
​

Answer 1

Step-by-step explanation:

Let the base angles be

′

x

′

Therefore,

x+x+40

∘

=180

∘

[Given]

2x=180

∘

−40

∘

2x=140

∘

x=70

∘

Hence,

The base angles of the triangle are 70

∘

,70

∘

.

Answer 2

Answer:-

one angle is 72°

other is 72°/4=18°

EXPLANATION:-

In right angled triangle ABC.

Then,b=90°

let the one angle be x so other angle is x/4.

We know that sum of all angle in triangle is 180°

so, a+b+c=180°

put the values given above,

x+x/4+90°=180°. (x+x/4=5x/4)

5x/4=90°

5x=90°*4

x=90°*4/5°

x=72°

hence, one angle is 72°

other is 72°/4=18°