Question

if the angles of a triangle are 2a , a+20˚ and a+ 24˚, the value of a is _________________.

Answer 1

Given :

The angles of a triangle are 2a, a + 20° and a + 24°.

To Find :

What is the value of a?

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✇ We know that,

Sum of angles in a triangle = 180°

∴ 2a + a + 20° + a + 24° = 180°

↣ 4a + 44° = 180°

↣ 4a = 180° - 44°

↣ 4a = 136°

↣ a = 136⁄4

↣ a = 34

Therefore, the value of a is 34.

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Verification :

↦ 2a° + a + 20° + a + 24° = 180°

Substituting a = 34, we get

↦ 2(34)° + 34° + 20° + 34° + 24° = 180°

↦ 68° + 54° + 58° = 180°

↦ 122° + 58° = 180°

↦ 180° = 180°

Hence, verified. ✔️