Question

Please help me solve this question

Answer 1

Answer:

$a = 135$

$b = 45$

Step-by-step explanation:

$a + b = 180$

$3b = a$

Replace 3b for a.

$3b + b = 180$

$4b = 180$

$b = 45$

Susbstite 45 for b back into the system of equations.

$3(45) = 135$

$a + 45 = 180$

$a = 135$

So

$a = 135$

$b = 35$

Answer 2

Answer:

<B is 45 degrees.

<A is 135 degrees.

Step-by-step explanation:

Hi,

When two angles add up to 180 degrees, they are called supplementary angles.

We know that <A and <B are supplementary angles. <A is three times as large as <B. So we can write...

3x + x = 180

(we don't know their angles, so we can just write x)

Now, solve...

4x = 180

x = 45

<B is 45 degrees.

Since both angles add up to 180, 180 - 45 = 135 meaning that <A is 135 degrees.

<A is 135 degrees.

We know that this is right because <A is three times as <B and both add up to 180 degrees.

I hope this helps :)