Question

A triangle has the angle measures that related as follows:
- the largest angle is eight times the smallest angle
- the middle angle is triple the smallest angle
Find the measures of the angles

Answer 1

Answer:

Let the smallest angle be x.

then the larger angle is 8x and the middle angle is 3x.

By angle sum property of a triangle

x + 8x + 3x = 180°

12x = 180°

x = 15°

so, the larger angle is 8 × 15 = 120°

     the middle angle is 3 × 15 = 45°

Hope this answer is helpful.

Answer 2

$\huge{\mathcal{\blue{HeYa!!!}}}$

Let the smallest angle be x.

Now Acc. to Que.

• Largest angle = 8x.

• Middle angle = 3x

Also,

x + 8x + 3x = 180°

{Angle sum property of triangle}.

=》 12x = 180°

=》 x = 180°/12

=》 x = 15°

• Therefore smallest angle = 15°

• Middle angle = 3x = 3×15° = 45°

• Largest angle = 8x = 8×15 = 120°

Hope this will help you if it HELPS then plz mark my answer as BRAINLIEST.

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