Question

two angle measure (55°+3a) and (115°-2a) if each is supplement of the other ,then calculate the value of a

Answer 1

if angles are supplementary then their sum is 180 degree

55+3a+115-2a=180
a+170=180
a=10
hope it helps

Answer 2

Answer:

Value of "a" = 10°

Step-by-step explanation:

Given two supplementary angles are (55°+3a) and (115°-2a).

/*" Sum of any two angles equal

Sum of any two angles equalto 180° is called supplementary angles "*/

Now,

(55°+3a)+(115°-2a)=180°

=> 3a-2a+55°+115°=180°

=> a + 170° = 180°

=> a = 180° - 170°

=> a = 10°

Therefore,

Value of "a" = 10°

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