Question

two supplementary angles differ by 34. what are they​

Answer 1

Answer:

Let the smaller angle be x

Since the two angles differ by 34

, the bigger angle =x+34

Since the sum of the supplementary angles is 180

We have x+(x+34)=180

2x+34=180

2x=180−34=146

x=

146

2

=73

Therefore smaller angle =x=73

Bigger angle =x+34=73+34=107

Answer 2

$\sf\underbrace{Question:}$

Two supplementary angles differ by 34. what are they?

$\sf\underbrace{Answer:-}$

➥ 73° and 107°

$\sf\underbrace{EXPLAINATION:-}$

• Let the one Angle be x.

• And other angle be (x+34°)

As we know, the sum of two supplementary angles is 180°.

So, We have

x + (x + 34°) = 180°

2x + 34° = 180°

2x = 180° - 34°

2x = 146°

$x = \sf{\cancel\dfrac{146°}{2}}$= 73°

Now we can say that,

➥First Angle will be = 73°

➥ Second Angle = (73° + 34°) = 107°