Question

Find the angles of a triangle if one of the exterior angle is 119°and the interior opposite angles are in the ratio 8 : 9
plz help ​

Answer 1

Answer:

Step-by-step explanation:

Exterior angle= sum of interior opposite angles

119°=8x+9x

119°=17x

x=119/17= 7

Angles are:

8x= 8X7= 56°

9x=9X7= 63°

Answer 2

Answer:

Step-by-step explanation:

Measure of exterior angle=119°

Ratio of the interior opposite angles= 8:9

Sum of the ratio= 8+9= 17

We know that the sum of two adjacent angle of a triangle is equal to the opposite external angle.

Angle 1 = 8/17 × 119

= > 8×7= 56°

Angle 2 = 9/17 × 119

=> 9×7= 63

Angle 3 = 180-(63+56) (angle sum property )

=> 180 - 119=61°

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