Question

two interior angles of a triangle are 50° and 60° find the third one​

Answer 1

Answer:

70°

Step-by-step explanation:

According to angle sum property,

sum of interior angles of a triangle = 180°.

let the 3rd angle be x,

50° + 60° + x = 180°

110° + x = 180°

x = 180° - 110° = 70°

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Answer 2

Answer ::

The third angle of triangle is 70°.

Step-by-step explanation ::

To Find :-

• The third interior angle of triangle

Solution :-

Given that,

• The two interior angles of a triangle are 50° and 60°

Figure ::

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(3.8,0.3){ \bf {60}^{\circ} }\put(4.5,0){\qbezier(0,0)(0,0.5)(0.3,0.3)}\put(2.7,2.5){\qbezier(0,0)(0.5,0)(0.6,0.1)}\put(2.7,2){ \bf {50}^{\circ} }\end{picture}$

As we know that,

The sum of all interior angles of a ∆ = 180°,

Therefore, x + 50° + 60° = 180°

Let us assume the third interior angle as x,

➟ x + 50 + 60 = 180

➟ x + 110 = 180

➟ x = 180 - 110

➟ x = 70

The measure of third interior angle of ∆ is 70°.

Now, VerificatioN

➟ The sum of all interior angles of a ∆ = 180°

➟ 70 + 50 + 60 = 180

➟ 120 + 60 = 180

➟ 180 = 180

L.H.S = R.H.S

Hence, Verified !