Question

please answer this
it's urgent​

Answer 1

Answer:

75 , 105

Step-by-step explanation:

Let one angle be x,

Therefore, The other angle would be: x+30 or x-30

As the angles are supplementary angles they add up to 180 degrees,

Therefore, equations formed are:

(x) + (x+30) = 180

(2x + 30) = 180

(2x) = 180 - 30 = 150

x = 150/2 = 75

Therefore, the vlaue of angles are:

x : 75

x + 30 = 75 + 30 = 105

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Answer 2

$\LARGE{ \underline{\underline{ \sf{Required \: answer:}}}}$

We know that supplementary angles add upto 180°. And in the above question, it is given that the supplementary angles here differ by 30°.

We have the sum and difference of the angles. So, we can find those angles by elimination.

Let the angles be x and y.

1. x + y = 180°
2. x - y = 30°

Add both the eq.

➛ x + y + x - y = 180° + 30°

➛ 2x = 210°

➛ x = 105°

Then,

➛ y = 180° - 105°

➛ y = 75°

Hence,

The required supplementary angles are:

$\huge{ \boxed{ \sf{ \purple{105 \degree ,\:75 \degree}}}}$

Explore more!!

• Another group of similar angles known as Complementary angles have a total sum of 90°. They need not to be adjacent, just their sum should be 90°.