Question

what will the sum of the right angle if one of the angle is 18degree and another is 64degree what will be the another sum of right an right angle
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Answer 1

Given :

• ∠A = 18°
• ∠B = 64°

To Find :

• The measure of third angle (∠C).

Calculation :

Assumption: Let us assume the measure of third angle as x.

We know that,

$\underline{ \purple{\boxed{ \rm{Sum \: of \: all \: angles \: in \: a \: triangle \: = 180^{\circ}}}}}$

$\longrightarrow$ ∠A + ∠B + ∠C = 180°

$\longrightarrow$ 18° + 64° + x = 180°

$\longrightarrow$ 82° + x = 180°

$\longrightarrow$ x = 180° - 82°

$\longrightarrow$ $\underline{\boxed{ \rm{x = 98^{\circ}}}} \blue{\bigstar}$

Therefore, the measure of third angle (∠C) is 98°.

⠀ ⠀__________

Verification:

As we know that, all angles in a triangle sum upto 180°.

So,

$\longrightarrow$ ∠A + ∠B + ∠C = 180°

$\longrightarrow$ 18° + 64° + 98° = 180°

$\longrightarrow$ 82° + 98° = 180°

$\longrightarrow$ 180° = 180°

$\therefore$ L.H.S = R.H.S

Hence, verified!

Answer 2

Given :

✰ One angle (∠A) of traingle is 18° and another (∠B) is 64°

To Find :

✰ Other angle

Solution :

✰ As in question two angles of traingle are given ∠A is 18° and ∠B is 64°.We have to find the Third angle that is ∠C. Let's assume the third angle be y know that sum of all angles of triangle is 180° ∠A + ∠B +∠C = 180°. We will values of Angle ∠A and B and then we can simply find the Third angle of the triangle.

Let third angle be y

∠A + ∠B + ∠C = 180°

→ 18° + 64° + y = 180°

→ 82° + y = 180°

→ y = 180 - 82

→ y = 98°

Verification :

∠A + ∠B +∠C = 180°

→ 18° + 64° + 98° = 180°

→ 82° + 98° = 180°

→ 180° = 180°

Hence, Proved

∴ Third angle measures 98°