Question

Find the measure of each interior angle in Vio

Answer 1

Given :- Find the measure of each interior angle in VIO

∠V = a + 40°

∠I = 3a - 10°

∠O = a + 15°

Answer :-

we know that,

• sum of all three angles of a 3 sided polygon (triangle) is equal to 180° .

so,

→ ∠V + ∠I + ∠O = 180°

→ (a + 40°) + (3a - 10°) + (a + 15°) = 180°

→ a + 3a + a + 40° - 10 + 15° = 180°

→ 5a + 45° = 180°

→ 5a = 180° - 45°

→ 5a = 135°

→ a = 27°

then,

→ ∠V = a + 40° = 27° + 40° = 67°

→ ∠I = 3a - 10° = 3*27° - 10° = 81° - 10° = 71°

→ ∠O = a + 15° = 27° + 15° = 42° .

Learn more :-

In ABC, AD is angle bisector,

angle BAC = 111 and AB+BD=AC find the value of angle ACB=?

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