Question

Two supplementry angles differ by 10x. If the acute angle is 13x, Find the obtuse angle?

Answer 1

Thanks for asking the question.
Let us suppose the obtuse angle is A then,
A - 13x = 10x
A = 23x
Now,
23x + 13x = 180
x = 5
so obtuse angle = 23*5 = 115 degrees
and acute angle = 12*5 = 65 degrees.
Hope it helps.

Answer 2

Answer:

Required obtuse angle is 115°.

Step-by-step explanation:

Given : Two supplementary angles differ by 10x. If the acute angle is 13x.

To Find : The obtuse angle?

Solution :

We have given that,  Acute angle =13x

Let us suppose the obtuse angle be 'A'.

Two supplementary angles differ by 10x.

i.e. $A-13x=10x$

$A=10x+13x$

$A=23x$

We know, Sum of supplementary angles is 180 .

So, $23x+13x=180$

$36x=180$

$x=\frac{180}{36}$

$x=5$

Substitute in angles,

Acute angle = 13x=13(5)=65°

Obtuse angle = 23x=23(5)=115°

Therefore, required obtuse angle is 115°.