Question

In a triangle, the measures of angles are (x + 10), (2x + 20), (3x + 30). Find the measure of each angle

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The sum of all interior angles of a triangle is 180°. This is called Angles Sum Property.

(x + 10) + (2x + 20) + (3x + 30) = 180°

x + 10 + 2x + 20 + 3x + 30 = 180°

x + 2x + 3x + 10 + 20 + 30 = 180°

6x + 60 = 180°

6x = 180° - 60

6x = 120°

x = 120° ÷ 6

x = 20°

Hence 1st angle = x + 10

= 20° + 10

= 30°

2nd angle = 2x + 20

= 2 × 20° + 20

= 40 + 20

= 60°

3rd angle = 3x + 30

= 3 × 20° + 30

= 60° + 30

= 90°

Hope it helps