Question

Find the mesure of an angle which is 25° less than its supplement

Answer 1

Answer:

I hope it is helpful.

Step-by-step explanation:

Let an angle be x.

Then, its complement =90

∘

−x.

We know that, if two angles are complementary, then their sum is 90

o

.

According to the statement,

x=90

∘

−x−25

∘

⇒2x=65

∘

⇒x=

2

65

⇒x=32

2

1

∘

.

Hence, measurement of the required angle be 32

2

1

∘

.

Answer 2

Answer:

The measure of the angle which is $25^o$ less than its supplementary is $77.5^o$

Step-by-step explanation:

Two angles are said to be supplementary if their sum is $180^o$.

Let $x$ be one of the supplementary angles.

It is given that one angle $25^o$ less than the other one. So the second angle will be $x-25$. Thus we have the equation,

$x+x-25=180\\\\2x=180+25=205\\\\x=\dfrac{205}{2} =102.5^o$

Hence the measure of the angle which is $25^o$ less than its supplementary is $77.5^o$.