Question

In triangle ABC, <A = 84, <B = 76. Then measure of <C is *




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Answer 1

Answer:

<C = 20

Step-by-step explanation:

We know sum of all three angles of a triangle is always 180

So

Angle A + Angle B + Angle C = 180

84 + 76 + <C = 180

160 + <C = 180

<C = 180-160

<C =20

Answer 2

GIVEN :-

• Angle ( A ) of triangle ABC = 84°
• Angle ( B ) of triangle ABC = 76°

TO FIND :-

• Third angle of triangle ABC ( C )

SOLUTION :-

$\setlength{\unitlength}{30} \begin{picture}(5, 3)\put(2,2 ){\line(1, 0){4}}\put(2,2 ){\line(1,1 ){2}} \put(6,2 ){\line( - 1, 1){2}}\qbezier(2.5,2 )(3, 2.25)(2.5, 2.5)\qbezier(5.5,2 )(5,2.25)(5.5, 2.5)\qbezier(3.7,3.7)(3.9,3 )(4.25, 3.7)\put(1.8,1.5 ){ \bf B }\put(6, 1.5){ \bf C }\put(4,4 ){ \bf A }\put(2.8,2.3 ){ \bf {76}^{ \circ} }\put(3.5, 3){ \bf {84}^{ \circ} }\end{picture}$

▪︎By angle sum property of triangle ,

=> $\angle$ A + $\angle$ B + $\angle$ c = 180°

=> 84° + 76° + $\angle$ c = 180°

=> $\angle$ c = 180° - 160°

=> $\angle$ c = 20°

Hence the value of angle c is 20°.

ADDITIONAL INFORMATION :-

▪︎ pythagoras theorem = it is a theorem which is always used in Right angled triangle .

▪︎it was discovered by pythagorean.

=> AB² + BC² = AC²

It means ,

(hypotenuse)² = (Base)² + (Perpendicular)².