Question

एक त्रिभुज का एक कोण 75° है, यदि शेष दो कोणों में 35° का अंतर है तब सबसे बड़े कोण का माप है​

Answer 1

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Answer 2

SOLUTION

GIVEN

• An angle in a triangle is 75°

• The difference between the rest two angles is 35°

TO DETERMINE

The greatest angle

EVALUATION

Here it is given that An angle in a triangle is 75°

The difference between the rest two angles is 35°

Let the rest angles are x and x + 35°

So by the given condition

75° + x + x + 35° = 180°

$\implies \sf{2x + {110}^{ \circ} = {180}^{ \circ} }$

$\implies \sf{2x = {70}^{ \circ} }$

$\implies \sf{x = {35}^{ \circ} }$

Hence the rest two angles are 35° and 70 °

So the all three angles are 35° , 70°, 75°

So the greatest angle = 75°

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