Question

one of the exterior angle of the triangle is 72° and its interior opposite angle are in the ratio 4:5 the Angles of the triangle are​

Answer 1

Answer:

x = 8

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Answer 2

Exterior angle of a triangle is equal to the sum of opposite angles of a triangle

Let the interior opposite angles be 4x and 5x

Exterior angle of a triangle is 72°

So,$72°= 4x+5x$ (Exterior angle property)

$72°= 9x$

$x= \frac{\cancel{72°}}{\cancel 9}$

$x= 8°$

Thus the angles are $4x = 4×8 = 32$

$5x = 5×8= 40°$

So,the third angle will be = $180°-32°-40°$

$= 180°-72°$

$= 108°$

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