Question

if two conjugate angles are in the ratio3/
5 then the supplement of smallest angle is​

Answer 1

Answer = 45

explanation =

sum of two conjucate angle is 360

so -3x+5x=360

8x=360

x=360/8

x=45

3x= 3×45 5x = 5×45

= 135 = 225

135 < 225 135 is smallest

supplement of 135 = 180-135

= 45

Answer 2

Answer:

45 ° is the required supplement  of smallest angle .

Step-by-step explanation:

Explanation:

Given , two conjugate angles are in the ration = $\frac{3}{5}$.

Let the two conjugate angles are 3x and 5x .

Conjugate angles are those in which the total of two angles is 360 degrees.

Step 1:

⇒ 3x + 5x= 360       [ sum of conjugate angles is 360 °]

⇒8x = 360

⇒ x = $\frac{360}{8}$ = 45 .

Therefore , the two conjugate angles are ;

3x = 3 × 45 = 135 °

and other is  5x = 5 × 45 = 225°

Step 2:

From step 1 we have two angles 135° and the other is 225° .

And 135° is smaller than 225°m.

So the supplement angle of 135 = 180 - 135 = 45 °

Final answer :

Hence ,the supplement of smallest angle is 45°.

#SPJ3