Question

please answer this question​

Answer 1

Answer:

1=110°

2=70°

3=70°

(Note: Solution below ⬇ has <this signs which means 'Angles')

Step-by-step explanation:

First let us find the value of

So, (2x + 10) =110° (vertically opposite angles)

2x=(110-10)°

2x=100°

x=100/2

hence, x=50°

So, now (2x+10) can be expressed as 110°

Now, as we found out the value of x, then we can also find the angle adjacent to <1 :-

So, (x +20) can be written as 50+20 (since x=50)

hence, angle adjacent to <1 is 70°

So, <1 = (180 - 70)° (Linear Pair)

hence, <1=110°

Now, <2= 180-110 (Linear Pair)

<2=70°

Next, <2 = <3 = 70° (vertically opposite angles)

hence, <1= 110°

<2= 70°

<3= 70°

Phewww! it did not took as much time to solve the problem in mind but took a lot of time to type. Hope it helped you...