Question

Two supplementary angles differ by 52 degree. Find the angles

Answer 1

SOLUTION

GIVEN

Two supplementary angles differ by 52°

TO DETERMINE

The angles

CONCEPT TO BE IMPLEMENTED

Two angles are said to be supplementary angle if sum of the angles is 180°

EVALUATION

Let the supplementary angles are x and 180° - x

Also suppose that x is greater between them

It is also stated that two supplementary angles differ by 52°

$\therefore \: \sf{ \: x - ( {180}^{ \circ} - x) = {52}^{ \circ} }$

$\implies \: \sf{ \: 2x - {180}^{ \circ} = {52}^{ \circ} }$

$\implies \: \sf{ \: 2x = {180}^{ \circ} + {52}^{ \circ} }$

$\implies \: \sf{ \: 2x = {232}^{ \circ} }$

$\implies \: \sf{ \: x = {116}^{ \circ} }$

So the angles are 116 ° and 180° - 116° = 64°

FINAL ANSWER

Hence the required angles are 116° & 64°

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Answer 2

Answer:

116 degrees

Step-by-step explanation: