Question

if the complement of an angle of an angle is equal to the supplement of an the thrice of it then the measure of the angle is ?​

Answer 1

Measure of angle X is 45 degrees that means the complementary is 90 – 45 = 45 and the supplementary is 180 – 45 = 135.  

Solution:

Let us take the angle as X, so it’s thrice be 3X.

Complement of angle X = Thrice of its supplementary i.e., 3X

If two adjacent angles forming angle 90 known as complementary and if it is 180 then it is known as supplementary.

Therefore, equating the values we get

90 – X = 180–3X

3X - X = 180 – 90

2X = 90

X = 45

Answer 2

Complement of an angle is equal to the supplement of the thrice of it. So angle under discussion is 45°, it's complementary angle is 45° and it's supplementary angle is 135°.

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