Question

two angles of a triangle method 30 degree and 55 degree respectively. find the measure of the third angle also state what type of angle is it.
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Answer 1

As we know sum of two angles are 180°

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First angle => 30° .

Second angle => 55°.

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Consequently,

=> 55 + 30 + 3rd angle = 180°

=> 3rd angle = 180 - 85

=> 3rd angle = 95° ( obtuse angle)

Answer 2

Explanation:

$\large \pink{ \sf \underline{ \mathfrak{Given}}} \: :$

• Two angles of a triangle method 30 degree and 55 degree respectively.

$\large \green{ \sf \underline{ \mathfrak{To\:Find}}} \: :$

• Find the measure of the third angle also state what type of angle is it.

$\large \red{ \sf \underline{ \mathfrak{Solution}}} \: :$

Supposed the third number is x

We know that :

• The sum of the three angles of a triangle is 180°.

$\underline{ \boldsymbol{ \bigstar \: According \: \: to \: the \: Question \: }} \:$

$: \implies \sf \: \: \: \: \: \: \: \: \: \: 30 + 55 + x = 180 \\ \\ \\ : \implies \sf \: \: \: \: \: \: \: \: \: \:85 + x = 180 \\ \\ \\ : \implies \sf \: \: \: \: \: \: \: \: \: \:x = 180 - 85 \\ \\ \\ : \implies \sf \: \: \: \: \: \: \: \: \: \:x = 95$

$\therefore \: \underline{ \sf \: hence \: the \: third \: angle \: is \: \bf{95}}$

Verification

$: \implies \sf \: \: \: \: \: \: \: \: \: \: 30 + 55 + 95 = 180 \\ \\ \\ : \implies \sf \: \: \: \: \: \: \: \: \: \:85 + 95 = 180 \\ \\ \\ : \implies \sf \: \: \: \: \: \: \: \: \: \:180 = 180$