Question

A triangle with three degree angle ratio is 4:3:2, this is what the triangle triangle?

Answer 1

`color(purple)(hatA = 80^@, hatB = 60^@, hatC == 40^@`

Explanation:

Three angles are in the ratio `4 : 3 : 2`

In a triangle sum of the three angles = `180^@`

Let basic unit x be the unit of each angle.

Then, `hatA = 4x, hatB = 3x, hatC = 2x`

`:. 4x + 3 x + 2x = 180^@`

`9x = 180` or `x = 20^@`

`color(purple)(hatA =) 4 x = 4 * 20 = color(purple)(80^@), color(purple)(hatB = )3x = 3* 20=color(purple)( 60^@), color(purple)(hatC = )2 * x = 2 * 20 = color(purple)(40^@`

It’s an acute angle triangle.

Answer 2

`80^@,60^@" and "40^@`

Explanation:

`"sum the parts of the ratio "`

`rArr4+3+2=9" parts"`

`• " the sum of the 3 angles in a triangle "=180^@`

`rArr180^@/9=20^@larrcolor(blue)"1 part"`

`rArr4" parts "=4xx20^@=80^@`

`rArr3" parts "=3xx20^@=60^@`

`rArr2" parts "=2xx20^@=40^@`

`"the 3 angles in the triangle are"`

`80^@,60^@" and "40^@`