Question

Two supplementary angles differ by 50. Find measure of each angle​

Answer 1

Answer:

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Let a & b two supplementary angle then we know that,

a + b = 180°...............(1)

a - b = 50° ..............(2)

Adding equations (1) & (2) we get,

2a = 230

$a = \frac{230}{2} \\ = 115°$

Putting this value a in equation (2), we get,

115° - b = 50°

b = 115° - 50°

b = 65°

Hence, the measures of two angles are 115° & 65°