Question

What is the measurement of the third angle of a triangle,if the measurement of the two angles are 50° and 58°

A.32°
B.42°
C.72°
D.82°

Paki sagot po
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Answer 1

Given :

• The measurement of the two angles of a triangle are 50° and 58°.

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To Find :

• The measurement of the third angle of the triangle.

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Answer :

• 72° .

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Explanation :

We know that,

• Sum of all angles of a triangle = 180°

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Therefore,

`{ \longrightarrow \sf \qquad \angle1 + \angle2 + \angle3= 180 {}^( \circ) }`

`{ \longrightarrow \sf \qquad 50 {}^( \circ) + 58{}^( \circ)+\angle3= 180 {}^( \circ) }`

`{ \longrightarrow \sf \qquad 108{}^( \circ)+\angle3= 180 {}^( \circ) }`

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Subracting 108° from both sides :

`{ \longrightarrow \sf \qquad 108{}^( \circ) - 108 {}^( \circ) +\angle3= 180 {}^( \circ) - 108 {}^( \circ) }`

`{ \longrightarrow \pmb{\bf \qquad \angle3= 72 {}^( \circ) }}`

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Therefore,

• The measurement of the third angle of the triangle is 72° .