Question

Two supplementary angles differ by 30 ° . Find the measures of smaller angles

Answer 1

Answer:

105° and 75°

Step-by-step explanation: Lets assume angles to be x and y

Its is given that

x - y = 30° ---- (1)

Also , x + y =180° ---- (2)

2x = 30° + 180° { from (1) + (2)}

x = 210°/2

=> x = 105°

=> y = 75°

Mark it as brainliest dear...

Answer 2

$\bf\huge\pink{Solution}$

$\bf\large\red{Given}$

• Two supplementary angles differ by 30 ° .

$\bf\orange{Consider}$

• If the difference of two supplementary angle is 30, then the larger angle is x

$\bf\purple{Explanation}$

$\sf{Then \: second = 180 -x }$

$\bf{x−(180−x)=30}$

$\sf{⟹x−180+x=30}$

$\sf{ ⟹2x=30+180=210}$

$\sf{⟹x=105}$

$\sf{Larger \: angle = 105}$

$\bf\orange{Consider}$

• If the difference of two supplementary angle is 30, and the larger angle is x=105° then let the smaller angle be y.

$\bf\purple{Explanation}$

$\sf{⟹y=180 - x}$

$\sf{⟹y = 180 - 105}$

$\sf{⟹y=75}$

$\bf\huge\pink{Answer}$

• The measures of smaller angles is

$\bf\huge\boxed{⟹y= {75}^{°}}$