Question

. The angles of a triangle are (10x - 5), (15x - 10) and (25x - 5). Find their degree measure.
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Answer 1

Answer:

Angles of triangle are ... 35°,50°,and 95°..

Step-by-step explanation:

Sum of all angles of triangle= 180°

Therefore,

10x-5+15x-10+25x-5=180

50x-20=180

50x = 180+20

$x = \frac{200}{50}$

x=4

Now,

10x-5 = 10×4 -5 = 35°

15x -10 = 15 ×4 -10 = 50°

25x-5 = 25×4-5 = 95°

☺

Answer 2

Answer :

35° , 50° , 95°

Solution :

Here ,

The given angles of a triangle are ;

(10x - 5°) , (15x - 10°) , (25x - 5°) .

Let's take

∠1 = 10x - 5°

∠2 = 15x - 10°

∠3 = 25x - 5°

Also ,

We know that , according to angle sum property of a triangle , the sum of all the three interior angles of a triangle is 180° .

Thus ,

=> ∠1 + ∠2 + ∠3 = 180°

=> (10x - 5°) + (15x - 10°) + (25x - 5°) = 180°

=> 50x - 20° = 180°

=> 50x = 180° + 20°

=> 50x = 200°

=> x = 200°/50

=> x = 4°

Thus ,

∠1 = 10x - 5° = 10•4° - 5° = 40° - 5 = 35°

∠2 = 15x - 10° = 15•4° - 10° = 60° - 10° = 50°

∠3 = 25x - 5° = 25•4° - 5° = 100° - 5° = 95°

Hence ,

The angles of triangle in degrees are ; 35° , 50° and 95° .