Question

the two angle of a triangle are 40degree and 60degree respectively, so what is the measure of the reamaining angle

Answer 1

Answer:

Given :-

• The two angle of a triangle are 40° and 60° respectively.

To Find :-

• What is the measure of the remaining angle.

Solution :-

Let,

$\mapsto$ The measure of remaining angle be x

As we know that :

$\bigstar\: \: \sf\boxed{\bold{\pink{Sum\: of\: all\: angle\: of\: triangle =\: 180^{\circ}}}}$

According to the question by using the formula we get,

$\longrightarrow \sf 40^{\circ} + 60^{\circ} + x =\: 180^{\circ}$

$\longrightarrow \sf 100^{\circ} + x =\: 180^{\circ}$

$\longrightarrow \sf x =\: 180^{\circ} - 100^{\circ}$

$\longrightarrow \sf \bold{\red{x =\: 80^{\circ}}}$

$\therefore$ The measure of the remaining angle is 80°.

VERIFICATION :-

$\implies \sf 40^{\circ} + 60^{\circ} + x =\: 180^{\circ}$

By putting x = 80° we get,

$\implies \sf 40^{\circ} + 60^{\circ} + 80^{\circ} =\: 180^{\circ}$

$\implies \sf 100^{\circ} + 80^{\circ} =\: 180^{\circ}$

$\implies \sf\bold{\purple{180^{\circ} =\: 180^{\circ}}}$

Hence, Verified.

Answer 2

Solution -

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For a given triangle, the first measures of the angles are 40° and 60° respectively. We have to find the third angle .

Let the third angle of the triangle be x°.

As per angle sum property of a triangle, the sum of all angles of a triangle add up to 180°

> 40° + 60° + x = 180°

> 100° + x = 180°

> x = 80°

Thus the remaining angle of the triangle measures 80° . This is the required answer .

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Additional Information -

For any polygon of n sides

• Sum of all internal angles = ( n - 2) × 180

• Sum of all external angles = 360°

• Adjacent angles are supplementary

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