Question

The angles in a triangle are in the ratio of 1: 2: 5. The largest angle i

Answer 1

Answer:

The largest angle is 112.5 degree

Step-by-step explanation:

The ratio of angles = 1:2:5

Let one angle (A) = x

Second angle (B) = 2x

Third angle (C) = 5x

We know that the sum of all angle in a triangle is 180.

Then A + B + C = 180

x + 2x + 5x = 180

8x = 180

$x = \dfrac{180}{8}$

x = 22.5

Angle A = x = 22.5 degree

Angle B = 2x

             = 2 × 22.5

Angle B = 45 degree

Angle C = 5x

              = 5 × 22.5

Angle C = 112.5 degree

Hence the largest angle is 112.5 degree