Question

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


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Answer 1

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The angles are

• The angles are
• 35°
• 50°
• 95°

Step-by-step explanation:

We know that angle sum of A Triangle is 180°.

Given

The angle measures are

• 10x - 5
• 10x - 515x - 10
• 10x - 515x - 1025x - 5

We know that

(10x - 5 )+ (15x - 10)+ (25x - 5) = 180°[ ASP of Triangle]

50x - 20 = 180

50x = 180 + 20

50x = 200

x = 200/50

x = 4

So, we got x as 4.

So, angles are

• 10x - 5 = 10 × 4 - 5 = 40 - 5 = 35°

• 15x - 10 = 15 × 4 - 10 = 50°

• 25x - 5 = 25 × 4 - 5 = 95°

Checking

To check our answer we will add all the angles of the triangle and check whether our sum is 180°.

Angles are 35°,50°,95°

Their sum is 35° + 50° + 95° = 180°

So our answer is correct

Answer 2

Step-by-step explanation:

(10x - 5) + (15x - 10) + (25x - 5) = 180° (Angle sum property of a triangle)

10x - 5 + 15x - 10 + 25x - 5 = 180°

50x - 20 = 180°

50x = 180° + 20°

50x = 200°

x = 200°/50°

x = 4°

10x - 5 = 10(4) - 5

= 40 - 5

= 35

15x - 10 = 15(4) - 10

= 60 - 10

= 50

25x - 5 = 25(4) - 5

= 100 - 5

= 95

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