Question

in a triangle the measures of the angles are 3 x, 2 x+ 20, 3x find the angles​

Answer 1

Answer:-

$3x + 2x + 20 + 3x = 180 \\ 8x = 180 - 20 \\ 8x = 160 \\ x = \frac{160}{8} \\ x = 20$

$3x = 3 \times 20 \\ = {60}^{0}$

$x + 20 = 20 + 20 \\ = {40}^{0}$

$3x = 3 \times 20 \\ = {60}^{0}$

u'r done!!

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Answer 2

Answer:

60°, 60° & 60°

Step-by-step explanation:

Given,

• The measure of the angles are 3x, 2x+20 and 3x

To find,

• The angles

Finding x :

3x + (2x+20) + 3x = 180°

⇒3x + 2x + 20 + 3x = 180°

⇒5x + 3x + 20 = 180°

⇒8x + 20 = 180°

⇒8x = 180° - 20°

⇒x = 160°/8

⇒x = 20°

.°. x = 20°

Finding the angles :

• 3x = 3×20° → 60°
• 2x+20 = 2×20°+20 = 40° + 20° → 60°
• 3x = e×20° → 60°

Hence, the angles are 60°, 60° & 60°.

Knowledge Required :

• The sum of all the 3 angles of a ∆ is 180°.

Method used while finding x :

• Transposition