Question

An angle is more than its supplement by 30. Find the ange,
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Answer 1

Answer:

Let angle=a . Supplement =a-30

Step-by-step explanation:

Now a+ a-30=180

So2a =210

a=105

Answer 2

Answer:

105°

Note:

★ Complementary angles: Two angles are said to be complementary , if their sum is 90° .

★ Supplementary angles : Two angles are said to be supplementary , if their sum is 180° .

Solution:

Let the required angle be x .

Thus,

The supplementary angle will be (180° - x)

Also,

It is given that , the required angle is 30° more than its supplementary .

Thus,

=> x = (180° - x) + 30°

=> x + x = 180° + 30°

=> 2x = 210°

=> x = 210°/2

=> x = 105°

Hence,

The required answer is 105° .