Question

in ∆abc a=76° b=48° c=​

Answer 1

Answer:

the answer is 56 degree

Step-by-step explanation:

please mark me as the brainliest answer and thank my answer please please please please

Answer 2

Answer:-

The measure of ∠C = 56°

Solution:-

$\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\linethickness{0.4mm}\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(5,0)(1,0)\qbezier(3.5,2.3)(3,2)(2.5,2.3)\qbezier(1.5,0.8)(1.8,0.5)(1.8, 0)\qbezier(4,0)(4.2,0.7)(4.5,0.7)\put(1.8, 0.5){ \sf 48^{\circ} }\put(2.8, 1.8){ \sf 76^{\circ} }\put(2.9, 3.1){\sf A}\put(0.7, - 0.3){\sf B}\put(5, - 0.3){\sf C}\end{picture}$

Let angle C be " x "

∠A + ∠B + ∠C = 180° ....(by angle sum property)

Given, ∠A = 76° and ∠B = 48°

Therefore,

➦ ∠A + ∠B + x = 180°

➦ 76° + 48° + x = 180°

➦ 124° + x = 180°

➦ x = 180° - 124°

➦ x = 56°

Therefore, ∠C = 56°

Now, Verification

➦ ∠A + ∠B + ∠C = 180°

➦ 76° + 48° + 56° = 180°

➦ 76° + 104° = 180°

➦ 180° = 180°

L.H.S = R.H.S

Hence, Proved.