Question

one of the exterior angles of a triangle is 112° and corresponding interior opposite angles are in the ratio 3:4. Find the angles of the triangles.​

Answer 1

Answer:

I hope this will help you.

Answer 2

$\huge\mathfrak\red{☟ \: \: \: answer \: \: \: \: ✎}$

$Given \: that: Exterior \: angle = 112°$

Let interior angles be =

$3x \: and \: 4x$

: Exterior angle is equal to sum of two opposite interior angle.

$⇒112° = 3x + 4x$

$⇒7x = 112°$

$⇒x = \frac{112°}{7}$

$⇒x = 16°$

Hence the interior angles are =

$3x = 3 \times 16° = 48°$

And

$4x = 4 \times 16° = 64°$

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