Question

The first angle of a triangle is twice the angle, and the third angle is 20° more than the second angle. Find the measure of all the angles of this triangle

Answer 1

Answer:

first angle is 32

second angle is 64

third angle is 84

Step-by-step explanation:

by solving equation

x+2x+2x+20=180

Answer 2

$\sf{\huge{\underline{\orange{Given :-}}}}$

• The first angle of a triangle is twice the second angle, and the third angle is 20° more than the second angle.

$\sf{\huge{\underline{To\:Find :-}}}$

• The measure of all the angles of this triangle.

$\sf{\huge{\underline{\green{Answer :-}}}}$

Let the first angle be x,

The second angle = 2x

The third angle = 2x + 20°

We know that the sum of the angles of a triangle is equal to 180°.

x + 2x + 2x + 20° = 180°

➝ 5x + 20° = 180°

➝ 5x = 180° - 20°

➝ 5x = 160°

➝ x = 160/5

➝ x = 32°

Hence, We get

• The first angle x = 32°

• The second angle = 2x = 2 × 32 = 64°

• The third angle = 2x + 20° = 2 × 32 + 20 = 64 + 20 = 84°

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