Question

the angles of a triangle are 72 degrees and 31 degrees then find the missing angle​

Answer 1

77 degrees because all three angles must make a 180 degree triangle.

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Answer 2

Answer :

$\large\boxed{ \rm{ \underline{77 ^{\circ}}}}$

$\bullet$ The missing angle is 77°.

Given :

• First angle of the triangle is 72°
• Second angle of the triangle is 31°

To Find :

• The missing angle. [third angle]

Calculation :

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

$\boxed{ \tt{ \underline{Sum \: of \: all \: angles_{(\triangle)} = 180^{\circ} }}}$

So, let's assume the third angle as 'x'

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Substituting values,

$: \implies \bf \: x + 72 + 31 = 180^{\circ}$

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Performing addition,

$: \implies \bf \: x + 103^{\circ} = 180^{\circ}$

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Now, transposing the addition of two angles [103°] and 180° in R.H.S and performing subtraction,

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$: \implies \bf \: x = 180^{\circ} - 103^{\circ}$

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$: \implies \boxed{ \rm{ \pmb{ \blue{ \underline{x = 77 ^{\circ}}}}}} \: \pink{ \bigstar}$

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Therefore,

• The missing angle [third angle] is 77°.

Explore more!

• L.H.S means Left hand side.

• R.H.S means Right hand side.